{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we will see the basics of how to use MiniSom.\n",
    "\n",
    "Let's start importing MiniSom:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from minisom import MiniSom"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "MiniSom relies on the Python ecosystem to import and preprocess the data. For this example we will load the <a href=\"https://archive.ics.uci.edu/ml/datasets/seeds\">seeds</a> dataset dataset using pandas:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "data = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases/00236/seeds_dataset.txt', \n",
    "                    names=['area', 'perimeter', 'compactness', 'length_kernel', 'width_kernel',\n",
    "                   'asymmetry_coefficient', 'length_kernel_groove', 'target'], \n",
    "                   sep='\\t+', engine='python')\n",
    "target = data['target'].values\n",
    "label_names = {1:'Kama', 2:'Rosa', 3:'Canadian'}\n",
    "data = data[data.columns[:-1]]\n",
    "# data normalization\n",
    "data = (data - np.mean(data, axis=0)) / np.std(data, axis=0)\n",
    "data = data.values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can initialize and train MiniSom as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      " quantization error: 0.6426435848319221\n"
     ]
    }
   ],
   "source": [
    "# Initialization and training\n",
    "n_neurons = 9\n",
    "m_neurons = 9\n",
    "som = MiniSom(n_neurons, m_neurons, data.shape[1], sigma=1.5, learning_rate=.5, \n",
    "              neighborhood_function='gaussian', random_seed=0)\n",
    "\n",
    "som.pca_weights_init(data)\n",
    "som.train(data, 1000, verbose=True)  # random training"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To visualize the result of the training we can plot the distance map (U-Matrix) using a pseudocolor where the neurons of the maps are displayed as an array of cells and the color represents the (weights) distance from the neighbour neurons. On top of the pseudo color we can add markers that repesent the samples mapped in the specific cells:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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E/A8ReQdwH9ADOHMNLifUTwIvEpEa3On3VwGPXWCRSimllK8CcElbD7Cx4OcNudvyjDGnyXXqIlIHvMUYMzzXA877GxljHga+CTwO/Cp3zN6FVq6UUkqpIo8C20Vki4hEcK8su6dwgIi0yvS7j9uBu0s9YFmbzxhjPgZ8bOH1KqWUUsHk9zaxxpiMiLwX+AHu5eJ3G2MOiMgngMeMMfcArwA+KSIGd/r9j0o9pu4op5RSSvnEGLMP2Dfjtj8r+P6buLPlZdFQV0optSr53alXgu+rBJRSSim1NLRTV0optQrpR68qpZRSKsC0U1dKKbXqiOg5daWUUkoFmHbqSimlVqUA7Ci35KrvN1JKKaVWKe3UlVJKrUri/0evLjnt1JVSSqkqsWI69dGU+6E0DZEmnyspX1ImAYiaGp8rUUopVUzcJfBVZkV06qOpYT71q4/yqV99NB/uQZeUSR5o+hYPNH0rH+5KKaVUJQU+1L1APz15itOTp1ZEsHuBPhYaZCw0qMGulFIBJCIV/fJDoKffCwO9wVpP1sDpyVPc+eQd3HHFnYGcii8M9EiqFQOMRc5yX+O3ednImwM7FX/EaeQkDWSwCJGli1G22SN+l1XSo4NRDk9EcYxgi2FHbZJrWpJ+lzWn50eEQ8MWKQciNuxsyrK10fhdVkmjJsKAieefF22SoEFSfpdVUrJ1C6nOXRg7ijhJIj0HiZ495ndZK9aV//PyRR33xO/vX+JKVDkCG+qjqWE+8fh/ZzDdg5Ns5/SJdwIQ37SXAbr50IMf5l0XfYzrutb7XOm0pEzys8ZvkwgN4iTbGTyxB3Brnoz284P673LF4G/SFQr7XOm0J5w2TtAIM1aBPk2Mp502NjHClfaAP8XN4ft9tXRPhSmq2cD+sRr2j8XZEEtz09oJ3+qb6bEBi0f7bVLZ4r/j50dtIpbhmnaHq9uyPlU3uwET55lsC+eY8SbUwBomudgapE0S/hQ3h8Smq0hcdB2Eo0W3p9duZyKdJH70YeInHvepOhVE1bijXCBDfTQ1zMceu50R5zROsp3s6f+Hl29dR3NNiP7JD7I/+bdkor384+GPcW78T7l5V5ffJZOUSX7S+B2S4XM4yXZSJ/+ALSGLGivL+JnfY2Ddl7Gi/TzW8k0mz97KxRH/z3z8zOlkiDhuOBpCZAmRJYNFBgsQTtDImBPhZXaPz9W6vtFdz5hj49UsgI3BQXB7XqF7Ksw3uuu5dcOYn6UCcO8pm0PD7t8lGBojhpoQTGZgJCWkssIDvTaDU8JrNzp+lwvA8WwDT5p2QAiRZb2MEyPDFCFOmzrOUcMD2ThXSj+brFG/ywVg/JLXkFq/y134ZAzW5DCSSmAicbI1TRCOkthxA05tC3UHf+h3uStSuZ33Yjt7tTQCF+peh+4F+o31H+bWt24hHrFzI9rpn/gkf/HEHUxEz/CN03/BmrqP+9qxex26F+hdfb/D5Q2ThK3pqdXxkV/nvqZvQ7Sfg63foGbwN3zt2J9w2vKBHiPNSzhFvT0dKmOOzQNsZIowg8R5wmnzvWP/fl9tPtBDZHn92hHaYtP3D0zB9/oayWAx5th8v6/W1479sQErH+gd8Syv78pQF5m+fzwF3zsZojfhjmuJGd879gETzwf6DhlkuwwSlunn8WWmn+dMC4dNC0+YdmpM2veOPbHpqnyg20Onqd//71ip6TUs2UgNY5e/Aad5PanOS0hMDGrHrnJ7v/vfXC21QP1G3jl0b8r9xvoP847rthUEuqu9dg13XvvX1Mo67Gg/Xzj6cd8Wz3nn0BMFgX51PFsU6AB1EudVo7cQTrViR/t5suXffF085025x0hzk328KNAB6m2Hm+zjxEjjdex+86bcQ2R5x6biQAdoi8E7No0QIovXsfvp0X73DUhHPMut24oDHaAuArduy9ARd+t1x/vrmWwLXqDvss4VBTpAWAy7rHPskEFAcuP9lbjounygNz76r0WBDmClJml89F+xh06DiDteKSq7SM6vqf3AhHrhojhvyv3WK7fMOb4h0sRHr7wTk1xLxu7lzifvWPZgL1wU5025Xx6de+FT1NRww/CbySbbMdEB7mv8ti/BfsTxzqEbXsKpkmOvpxswgOSO88ejg1G8ml+/tvQCvpvXjuDV7B63/J4fkdw5dMPruzIlx97clQEMqazw/Ih/5/hGTYRz1BAiy3YZLDl2uwwRIss5ahg1kZJjKynZusU9h24M9fv/veTY+v3fA2MgHHWPU6oKBSLUZ65yT5zYw4u61p3Xoc+0tnYNu0MfwEm2M5DsXtbL3Wauck+c2EOXHTqvQ5+pXuK0nfk9nGQ7k+FzvlzudpIGAEJkz+vQZ2qwM9hki47zw+EJN5wFzuvQZ2qPTS+h845bbu60OzRGzHkd+kz1EWgMm6Lj/DBg4gCsl/HzOvSZwpJlnYwXHeeHVOcuAKzJ4fM69Jms1ATW5EjRcWp10059GWRzryXNNeWd7m+O+78swHv5q7HKOx8aK3NcpWRy/9tDlFdHODcu4+PTxTHuPxCb8i4B88Z5xy23VO69UplPY7ynccrHtXLe/98YpWcWPPHcOD+fF8bOvdlLlXdeX3LB7x2nVLUJRKg3RJr4k8v+kvU1Gxk3p4lv2kv/ZOnpP3A7/EeSn8aO9tNgredPLvvLZbt2PWpqeMnwW6jPtJCOnCW+aS/jzP/CkpRJeju+gh3tJ5Jq5SXDb1n2a9dDCwzp9ALfBFSCnescnTI/gMEbZ8/TcVaKN8k0WV4+ksgUH+cH7//vVJnrZxO5cX4+L8Rx9yUwkfJmC0ykpug4tbppp15BXrC3RTdgR/vZn/lb+ifOzTl+NDXMXz/1UabkDE6ynfds//iyb0bjBXtNeg12tJ+BdV9m3Mwd7EmZ5P6mb+FEBnCS7bxw6Dd92YymC/cyJG+VeCmjTggn9zTxjvPDjtrcizfuKvdS+qemZ0+845bbziY36EZSwvg8e7WMpWAkLUXH+cFbxX7a1JGeZ4YjbSzOmLqi4/wQ6TkIQLamiWyk9L+lbKSWbE1j0XFKVZvAhDq4wX7HFXcScjqQaB9/8cTsi9+8c/C9CXdR3capP2Zne7sPFbvB/rKRNyPJNqxoP/c1zb74zTsHP55bVFfb859pt/xZYOTuFOcuJHuAjSXHPsgGvAVqfu4w5+4U59b8vb7SC/b29U0vBPRrh7mtjYaIlav3ZOnOd9/JECBELOPrDnMNkmINk2SweM6UXtX+nGkmg8UaJn3dYS569hikkyDC2OVvKDl27PLXu9cxpZO6w5wCQLAq+uWHQIU6uMH+ros+hpNsZ8Kc4Y5HPkJfQcfudejeKvmpk3tKrpJfDlFTwxWDv4mTbCcdOcuPGr7DWEHH7nXo3ir5qRPvZrfPp/Q24Qb7FGG+72xm1CkOnlEnxPedzUwRBkxuvL82xNKAIYPFF0800j+jY++fgi+eaMydVjC58f65pt0BDL0Ji28cCTE2I/vGUvCNI+516mBy4/11sTUIGA6bFg5m15A2xS8RaWNxMLuGw6YFMLnx/ooffRiMwWlez8g1v0U2Ult0fzZSy8g1v4XTvB6McccrVaX8X2U2i+u61nN2/E/519N/wUT0DB956HZ2hz5AczzEI8lP56fcp07u4T3Xb+eyztr5H7TCukJhJs/eysHWb0C0nx82fpe2M79HzMrS2/FdnIJAvzbusC7i7/7ZV9oDjDoRhogzRZgfsxnbyRImSxorN+XudrstJHzfeAbgprUT+R3lMljc09c0645yYNzr7H3eKvbqtiyDU+5+770Ji7ufDdMYNsRD7jl0d8rdrXdnU9b3jWfAnUq/Qvp50rRz2LRw1DSxTsaJkyFBiDOmLv+m6Urp933jGYD4icdx6taQWr8Lp3k9wy//A6zJESQ1iYnUuFPuuZ3mIj0HdOOZRaq+neKq86NXAxnqAK/f1UVr3cf5wtGPk4n28mTyMzAGdrQ/P+V+669tCUSgey6OWNQM/gZPtvwbVrSf/nVfBsDOnUOv7fnPvLg25Xuge15u9xTt/e5g41B4jt0Ebu/3WzeMFe39boBM0eI5E6i931+70aElZvJ7v4+khZGCCYQg7v2+2Rql1qTze7+fMsWXMgZx7/e6A/9BYvxcfu/3bG0T1BassdG939UqEdhQB7dj39nxN9z55B0M0A1Ag7We9+z+uG/n0OfTFQqzduzXuc/6NpPRfgAiqVZeOPwW2uuDEeaFrrQHuJKBFfUpbV5gr5RPabu6ze3CV9KntLVJgja7Z0V9Slv8xOPETzyun9K2xKr109bcbWK1U1923uK5T/3qowDLetnaYnmL5x5o+hYALxm9hahPi+LKtc0eYVsAzpsvxDUtwQzxuWxtNGxt9P+8+UI0SCqwIT6X6NljGuJq1Qp8qMP05W7e9yuBd7mb971SSqlg0U7dRyslzAtpmCullFpOKybUlVJKqaVUjZ164K5TV0oppdTiaKeulFJqFRJEqq+vrb7fSCmllFqltFNXSim1Kuk5daWUUkoFlnbqSimlVh3dUU4ppZSqKtUX6jr9rpRSSlUJ7dSVUkqtQnpJm1JKKaUCTDt1pZRSq1I1LpTTTl0ppZSqEvOGuoi8QESeLPgaFZH/uhzFKaWUUpUiIhX98sO80+/GmGeBKwBExAZ6gO9UuC6llFJKLdBCz6m/CnjeGHOiEsUopZRSy0XPqcNbgX+Z7Q4R2SMij4nIY8ODgxdemVJKKVXlROQmEXlWRI6IyEdmub9LRH4iIk+IyFMicnOpxyu7UxeRCPBG4PbZ7jfG7AX2Amzftcv0j46W+9C+G+od8ruEBRkbHPO7hAWL1cb8LqHqdR/u9ruEBevrW3mTfrt2X+d3CQsSj0T9LiGQgrBNbO6U9meB1wDdwKMico8x5mDBsI8C/2qM+ZyI7AL2AZvnesyFdOqvAx43xvQtuHKllFJKzXQtcMQYc9QYkwK+DrxpxhgDNOS+bwROl3rAhZxT/23mmHpXSimlVpZl2VGuVUQeK/h5b25W29MJnCr4uRuYORX058C9IvI+oBZ4dak/sKxQF5Fa3OmB95QzXimllFKcNcZcfYGP8dvAF40xnxGRFwNfFpFLjTHZ2QaXFerGmAlgzQUWppRSSgWG3+fUcS8R31jw84bcbYXeBdwEYIx5SERiQCvQP9sD6o5ySimllD8eBbaLyJbcYvS3AvfMGHMS93JyRGQnEAMG5npA3ftdKaXUqiQ+f566MSYjIu8FfgDYwN3GmAMi8gngMWPMPcAHgX8WkffjLpp7hzHGzPWYGupKKaWUT4wx+3AvUyu87c8Kvj8IvKTcx9NQV0optTr5f059yek5daWUUqpKaKeulFJqFfLvk9QqSUNdKaXUquNuE1t9k9XV9xsppZRSq5R26koppValapx+105dKaWUqhLaqSullFqVtFP30Xh6hPH0iN9lLEjKTpCyE36XoZRSapVYEZ36eHqEvc9/EoA9W2+nLtzoc0XzS9kJnrroXgB2H30tESfuc0VKKaWmVeclbYHv1L1A70/20J/sYe/znwx8x+4F+mRshMnYCE9ddK927EoppSou0J16YaCHnQ6MMfTTw13P3sltL7gjkB17YaDXTLn1ecEe5I69O9ZOb7wdR2xs49CR6GfD1Kyf7KcW6cBIhGcmomSyQsgyXFyb5JLGlN9llTRUs4Zz9R04Vgg7m2HNWC/Nk+f8Liuv5919izqu85/XLnEl5fnK5n9Y1HG/e/x9S1xJ+S7+p4sXddwz73lmiStZetV4nXpgQ308PcLfHbqTCXMGJ9nO+Ik/ACC+aS+j0TP8xROf4GV1H+T1u9b7XOm0mYG+++hrAfK3BTHYD9dtpjfeft4eyEfDWzhav5mORD87xo/7U1yV+PnZOIcnopjCT4Ry4KHhEL8YrmFHbZIbWoM1k9PbuJHTzZvJ2sUvEcN17VhOhvVDx+kYOeVTdUqpuQQy1MfTI/y/T/8lSasXJ9lO4sQeWuON1McsRs/+IZOtn8OO9vPT8c/Q//Bt/P51m/wuedZA98J799HXBjLYn2jaxVi4zg10Y7CNg20cHLFxxAYReuPtTIZquGL4oN/lrkj3nKmjPxUCBDCExBARQ8oIGSMYhGcnogylbd64bmIxtqsAACAASURBVNzvcgE42nYxg/Ud+edFNJ0g5KTI2BGS4ThZO0T3mq0kIjVsGXjW73KB8jvvxXb2S63cznuxnX0llNt5L7az90f1nVMPXKh7HboX6G2j/4U9r99EU41Xajs9o3fwj8/9FUT7OJi8i+8d9LdjLxXoABEnHrhgP1y3OR/oESfJ7uGD1DjTU8GTdoSnmnaRsqOMhus4XLdZO/YF+vnZeD7QayyHm9eO0hSZvn84Bfv6GpjM2vSnQvz8bNz3jr23cWM+0GsTI2ztfZpIdvp5kbIiPN9xKRPxRs7VryOemtSOXakACdQJBe8cujfl3jb6X/iTV28tCHRXZ0MLt+/+U+zMWuxoP/eNf8a3xXPzBbrHC/aaqcZALJ7zptwjTpIXnXuyKNABapwULzr3JBEnme/Y1cIcnojiBfrbNhYHOkBTBN62cZQaywEkN95fp5s35wN95+nHiwIdIJJNsfP049QmRkCE083+z5IptRgiUvEvPwQm1AsXxXlT7nuun/sFoy7cyB9u/+84yXYk2s9dz9657MFebqB7ghLs3bH2/NTq7nmm1S8bPgTGgIh7nCrLgZFI7hy64ea1oyXHvm7tKGAwCAdGIiXHVtJQzRr3HLoxbO19uuTYrb1PgzFk7TBDNWuWqUKl1HwCEeozV7l759BndugzbWhoIT7whzjJdkadM8t6udtCA90ThGD3um7bOOd16DPVOkksky06Ts3vmVzXHRJzXoc+U3PEHVd4nB/O1XcAEE0nzuvQZ4pkU0TTiaLjlFpptFNfBsa4L271sfJKq4tW30KHSnPEBtxQL0fIZIqOU/PLZN3nZSQX1vPxxnnH+cGx3DfRoXne6HlCTrroOKWU/wIR6nXhRvZsvZ32aCeZUJ972Vqq9JQluB3+UKO7Ej7sdCzrbnOL7bgX2+EvJS/Myw3pjISKjlPzC1luSKdMeSHtjfOO84Oddd+8ZezyTgFk7HDRcUqtNNqpV5AX7A32OuxoP5Otn6NndHDO8ePpET535K8wkT6cZDtvaP3Qsm9Gs9BgD0KgA3Qk3E1lHLGZnOcFfMKOks1t0OAdp+Z3cW0SgIwRhudpfIdS7rjC4/ywZqwXgGQ4Tsoq/bxIWe7lbYXHKaX8F5hQBzfYb3vBHZhkO3a0n3987q9mPUfunYM/lzqNk2zHnH4P13X5s0NUucEelEAH3J3icovfnmraVXLsr5p25hfV6Q5z5bukMYVgAGFfX0PJsf+nrwEQBOPrDnPNk+ewnAyI8HzHpSXHPt9xKYhgOelA7TCn1EKIWBX98kOgQh3cYH9Z3Qdxku04oT4++dRf0F3QsXsdeuEq+V97wTofK54/2IMU6J6OhBvsKTvKL9ZcwYRdvEBrInd7yo6CMdqlL8KO2iRgmMzafO1UA0Mz8nooBV875V6nDiY33l/rh46DMUzEGzm0/qrzOvaUFeHQ+quYiDeCMawfOuFPoUqpWQVyhcvrd62n7xe3cSh5F0T7+Ptn7iQ+8IfURYWhxs/lp9wTJ/ZwXVcbr9lZ73fJc24wAwQu0AF2jB9nIlTDWLiOlB3lly2XY5ksIZMhIyF3yj3XoTekx3XjmUW4oTXBUNrdWGYya/OtM03n7Sjn7TTXHsn4vvEMQMfIKSYjtQzWdzARb+SpzdfndpRLk7HD7pR77nmxZuxMYDaeCcpOceUK0k5x5VpZO8WVozo/pS2QoQ7wzhdt4nsHP8h945/BjvaTaPscCcCO9Oen3N906bpABLpntmAHAhfoniuHDxbt/Z4VmxQFi+dyHboG+uK9cd140d7vGSNkCtbCSa5DD0Kgey4aeIaa1ASnmzeRtcMkIzUUziFYTpr1QycCE+hKLYYIGurL7fW71vPy9J9x17N3Mho9A0DY6eCWjg9x3bX+nEOfz8xgBwIZ6J4d48fZMX5cP6Wtgm5oTXBDa2JFfUpbx8gpOkZOBf5T2vz6tLXF8vPT1hZrJXzampoW6FCH6cVze5//JMCyXra2WIXBDgQ20AttmNIQr7RLGlOBDfG5NE+eC1SIK7WUtFP3iXe5m/f9SuAFu/e9UkopVWkrItRh5YR5IQ1zpZQKssBdAHbBqu83UkoppVapFdOpK6WUUkunOi9p005dKaWUqhLaqSullFqVtFNXSimlVGBpp66UUmpV0k5dKaWUUoGlnbpSSqlVp1r3ftdOXSmllKoS2qkrpZRahQSR6utrq+83UkoppVYp7dSVUkqtSnpOXSmllFKBVVaoi0iTiHxTRJ4RkUMi8uJKF6aUUkpVkohU9MsP5U6//z3wfWPMb4hIBKipYE1KKaWUWoR5Q11EGoGXAe8AMMakgFRly1JKKaUqbXWeU98CDAD/U0SeEJHPi0hthetSSiml1AKVM/0eAq4C3meMeVhE/h74CPCnhYNEZA+wB6B17VpGE4mlrrVipiam/C5hQVLJlTdRcu70Ob9LWLDRc6N+l7Agw0MDfpewYJlM0u8SFmx8eMzvEhZkbAW9Fi+31br6vRvoNsY8nPv5m7ghX8QYs9cYc7Ux5ur65ualrFEppZRaUu5iNquiX2XWcZOIPCsiR0TkI7Pc/3ci8mTu67CIDJd6vHk7dWNMr4icEpEXGGOeBV4FHCyrWqWUUkrNSkRs4LPAa3Ab6EdF5B5jTD5jjTHvLxj/PuDKUo9Z7ur39wFfza18Pwr8/gJrV0oppQIlANPv1wJHjDFHAUTk68CbmLtx/m3gY6UesKxQN8Y8CVxdfp1KKaXUqtcqIo8V/LzXGLO34OdO4FTBz93AdbM9kIhswl24/uNSf6BuE6uUUmpVWoZO/awxZqka4rcC3zTGOKUG6TaxSimllD96gI0FP2/I3TabtwL/Mt8DaqeulFJqVQrAOfVHge0isgU3zN8KvG3mIBG5GGgGHprvAbVTV0oppXxgjMkA7wV+ABwC/tUYc0BEPiEibywY+lbg68YYM99jaqeulFJqFZKyryWvJGPMPmDfjNv+bMbPf17u4/n/GymllFJqSWinrpRSatURCcQ59SWnnbpSSilVJbRTV0optUppp66UUkqpgNJOXSml1Kqk59SVUkopFVgrplMfSLo757VFO32uRCml1MoniKWdui8Gkj3cffJO7j55Zz7clVJKKVUs8KHuBbpjMjgmo8GulFLqwuWuU6/klx8CPf1eGOhCCAw4ZPjCiTt516Y7Aj0VP27FGArVkxGbkHFozoxRl53yu6w5TYZqGIk14Vg2dtahcWqYmsyk32WVdDK0hp7wGhxsbBw60+foypzzu6w5HaOFbruJDBYhsmxwhtnCoN9lVR1r427sbdchkRgmNYVz5GGyp57yuywAvnvFFxd13K8/+Y4lrWMhrvnSlYs67tG3P7HElahyBDbUB5I9fOHEnWTJYLI2E8feB0DNlrvIWhn++fhf8msNt/PCdV0+V1ps0K7nWKyD4VD9efc1ZcbYMtVLizPmQ2WzG4k20d3QxVis8bz76qdG2DB6ksbksA+Vze1AZAOnw2vcLaEKPGvX8KzZwPr0OS5JdftU3fmestbRbTWfV+8hK84h08GG7BC7s2d8qq562Je8mvAVNyGRmqLbQ5uvxKQmST/5fZwDP/SpOhU0QnWufg9kqA8ke/j8iTsxuUBPnbyNK9dupD5mcTbxAY7H/xaxHL4/8klGpz7MjVs2+1yx63R4DYfiXSCCbRza08NEs2mSVpj+cBPDoXqeqK1jZ+Ik69P+d5T9tWs52rwdRLCyGdYkzhJ2UqTtCOfirYzFGjkUvZSLhp6jfaLP73IBeCS2jRG71g1IY7BxCJksGbFwsEGE0+E1TFgxrp064ne5PGhvZlhqCurNEsIhg42DBSJ0W82MS5TrneN+l7tihV/6e9jbXoSIYIzBjA1gEmNIvB6pb0MiNYSvuQWruYP0/V/xu9yyO+/FdvaVUG7nvdjO3g8a6svA69C9QL8k+yFed+NFRMPeX/52eiY+ype67wQrw4PJv6HhjP8d+6Bdnw/0TVO9bE72EiKbv39H4hTHox2ciHVwKN5FLJvytWMfiTblA3396Ek6R7uxjZO/f7McpadhA6cbujjavJ1oJul7x34gsiEf6NFsiqsmj1BHKn//OBEer9lG0oowYtdyILLB1479KWtdPtCjJs11mWPUkS6oN8zDoS0kJcwwNTxlrdOOfRHsS16dD3Sn73lSP/5nmBqdHhBrIPLKd2Ov3Yq97cVkh3q1Y1dVK1AL5bxz6NmCQP/1XVsLAt3VWdvJH2y+AzEhxHL4wegnfV88dyzWkQ/0bcnTRYEOECLLtuRpNk31gog73kfdDV35QO8aOVEU6AC2cegaOcH60ZNuN9mw0adKp3lT7tFsipdNHiwKdIA63Nuj2VS+Y/eTN+UeNWlelTlcFOgAdbi3R00637GrhQtfcdN0oO/7THGgA0yNktr3GZy+5xERwpff5E+hKnCqcaFcYEK9cFGcN+X+uu0XzTm+LdrJ2zfcgcnaIA5fOOHfqvhxK8ZwqB7bOGxO9pYcuznZi20chkP1jFuxZaqw2GSohrFYI1Y2Q+do6U52/Wg3VjbDWKyJyVBNybGVdDK0Jj+FfdVk6Wn1qyaPgDEg4h7ng2O05Ou9LnOs5NhrM8fz9R6jZXkKrBLWxt1IpAZjjNuhl5D66ecxxiDRGqyNu5epQqWWVyBCfeYq98ljt3FZ68bzOvSZOms72ZT4ACZrk8W/y92Gcovi2tPD53XoM4XI0p4eLjpuuY3EmgBYkzh7Xoc+U8g4tCTOFR3nh55c123jnNehz1RHCjv3/6HHp26923b/rmyy53XoM9UX1Osdp8pjb7sOADM2cH6HPtPkiDuu4Di1igmIVdkvPwQi1IsY9z/1sfJKq4v6/ytkxAYgmi394u2J5MZ5xy03x3L/3LBTOhw9ESdZdJwfHNw/O2RKv2nyhHJvVrzjllsm908rROk3TR7vzWAmgP8kg0wi7myXSZS3PsUb5x2nVLUJxCtIW7STd3bdgS0hjGSo2XIXZ8vouAeSPRyyP41YDkKId3b5c+26FyBJK1zW+FRuXGieLrlS7Kz756btSFnjU3a06Dg/2LlwzJT59td7w2SXGapLbTqky3tTMf0moLw3LcplUu7eDxIvb9bLG+cdp1YzcU+RVfLLB4EIdZgOdgt38dvx+N/SMzF3sA8ke7j7xJ0YcTBZm1vW3O7bZjTNGffdf3+4ad5OK4NFf7ip6Ljl1jjlTv+fi7fizDNbkBGbwfiaouP80Jm7BNDBZpzSb0bGibiXixUct9w2OO7flYPFOKXf7I0V1Osdp8rjHHkYAKlvg1hD6cE1je64guOUqjaBCXVwg/1dm+4AYyOWw5e6Zz9Hnj8Hn1sl3zz4fi5e49/q7LrsFE2ZMRyxOR4tvar9eLQDR2yafNxhriYzSf3UCFkrRE/DhpJjTzdsIGuFqPd5h7muzLn8YrLHa7aVHPt4zbb8IjW/dpjbwmC+3odDW0qOfSS0OV+v7jC3MNlTT2FSk4gIkVe+u+TYyCv+wL2OPTkZmB3mlL909fsyaIt28msNt2OyNkYyfP74nUUdu9ehe6vkJ4/dxmu3l37RXA5bpnrBGE7EOjgSXX9ex57B4kh0PSdiHe6L91TpVfKVtmH0JBjD6YYuTjZuOu/8fkZsTjZu4nRDFxjDhtFTPlU6bX3aDfakFeG+ml3ndezjuLcnrQgY4/sGPxuyQ269EuZHoR2Mzah3jAg/Cu0gKWH37zg75FOlK1v6ye9jjMFeu5XIzR+Emhm7I9Y0Ern5g9hrt2KMIb3/+/4UqtQyCNzmMwAvXNfF6NSHeTD5N2Bl+OKpv2RT4gPURS0O2Z/OT7lPHruNW3ZdxLa28s5lV1KLM8bOxEkOxbs4EeugO9pGe3qYSDZNKrejnCM2GMPOxEnft4ptTA5z0dBzHG3ezumGLnrr1tOSOEfESZKyowzG15C1QmAMFw095/vGMwCXpLqZsGKM2LUkrQgP1e50d2gzDhmZ3qENY2h0JnzfKnZ39gzjEmWYGpIS5uehbbkd5bJksIrqbTKTuvHMIjkHfojVvA5724uw124l9lt/df6Ocrmd5pwjDwVi45kg7RRXrpW0U1w5dJvYZXbjls00nLmdH4x+ErEcTsT/FgDJBXrz4Pu59eotgQh0z/r0OWLZVH7v9zOR4supgrb3e/tEH9FMku6GjYzFmjhbu7bo/vqpYTaMngpEoHuunTpStPe7g128LiDXofsd6J7rneNFe7872MUr8nMdugb6hUnf/2WyQ2cIX34TEq1BGtqhoT1/v0lOkt6ve7+r6hfYUAe3Y+9q+aj7wS5WBgAhxJvbbufii/3f4Ww2Lc4YLRNjK+ZT2hqTwzQODK+oT2m7JNXNJanuFfMpbbuzZ9idPaOf0lZhzoEful17gD+lzc9PW1usav60Ne3UfeAtnrv75J0Avl22tlB12SnqVtBlMzWZSWrGgxnic+nKBDPE57KFQbY4GuKVlj31VGBCXKnlFvhQh+nL3bzvlVJKqQsiIJZ26r7RMFdKKaVKWzGhrpRSSi0d/64lr6TAXaeulFJKqcXRTl0ppdSqpJ26UkoppQJLO3WllFKrjrujnN9VLD0NdaWUUqtPlaa6Tr8rpZRSVUI7daWUUqtSNW4+o526UkopVSW0U1dKKbUq6SVtSimllAos7dSVUkqtQrpNrFJKKaUCrKxOXUSOA2OAA2SMMVdXsiillFKqoqQ6z6kvZPr9RmPM2YpVopRSSqkLoufUlVJKrTruhnKrt1M3wL0iYoB/MsbsnTlARPYAewDaOjqoiUSWrsoKa17b5HcJC5JJZ/wuYcFOPve83yUsWCo15XcJCxKN1vhdwoK1tm7wu4QFW2nPi5HJSb9LUMuo3FB/qTGmR0Tagf8QkWeMMfcVDsgF/V6Abbt2mSWuUymllFpSq3ZHOWNMT+6//cB3gGsrWZRSSimlFm7eUBeRWhGp974HXgs8XenClFJKqUoSqexXeTXITSLyrIgcEZGPzDHmt0TkoIgcEJGvlXq8cqbf1wLfyS0oCAFfM8Z8v7xylVJKKTUbEbGBzwKvAbqBR0XkHmPMwYIx24HbgZcYY4Zyp8HnNG+oG2OOApdfUOVKKaVUkATjOvVrgSO5nEVEvg68CThYMObdwGeNMUOQPw0+J91RTimllKqMVhF5rOBrz4z7O4FTBT93524rtAPYISIPiMgvROSmUn+gXqeulFJqFVrAie/FO7sEO7CGgO3AK4ANwH0icpkxZni2wdqpK6WUUv7oATYW/Lwhd1uhbuAeY0zaGHMMOIwb8rPSUFdKKbUqiUhFv8rwKLBdRLaISAR4K3DPjDHfxe3SEZFW3On4o3M9oE6/K6WUWnUE/zefMcZkROS9wA8AG7jbGHNARD4BPGaMuSd332tF5CDuh6r9N2PMubkeU0NdKaWU8okxZh+wb8Ztf1bwvQE+kPual4a6Ukqp1ScYl7QtOT2nrpRSSlUJ7dSVUkqtStqpK6WUUiqwtFNXSim1CpV92dmKsmI69YMjj3Nw5HG/y1iQpJUgaSX8LqNs6fAU6fCU32UopZRapBXRqR8ceZyvnboLgLdxG7sar/K5ovklrQSPrvt3AK458wai2bjPFZWWDk/x3GU/B2D7r24gnI75XJFSSlVWFTbqwe/UCwMd4Gun7gp8x+4F+kRkiInIEI+u+/dAd+xeoE/VjjFVO8Zzl/1cO3allFqBAt2pzwx0z9dO3RXYjr0w0GtTzQD5YA9ix14Y6JJYgxFhqvYsz+x+kIufuj7QHXsyVs9kfTtZK4yVTVMz1k90aszvsuaUijeSaOgga4exnDTx0V4iiRG/y8r7/ov+bVHH3fSL31ziSqrXvmu/vqjjbn7krUtcSfle/c2XLOq4H/7GA0tcyRITwOcd5SohsKE+M9DftvE2gPxtQQz2mYF+zZk3AORvC1qwp8NTHLz8IZz4GE6yncQp91MB45v2Qk0/+694jNZDN7N5fNTnSotN1LVxrmMnifq28+6Ljw2wpvcQteMDPlQ2u0TDWoY7L2OqYe1598VG+2jq+RXx0T4fKlNKVZtAhvpsge6F99u4LZDBPluge+F9zZk3BC7Y0+Epnr78YUx8yA304+8mmgoRMWlSz78dLvoSdqyfgZ37SBx+CztHghE6wy2b6eu6CkQQJ039cA+h9BSZcIyxpk4S9W1017XScfKXNA6e8Ltcxtq2cnbLtSAW4qSpHTyJnUrgROJMtHQx1bCW3vo2Wo89TP3AnJ/RsKzK7bwX29mr8jvvxXb2lVBu573Yzn65CdV5nXrgQr1UoAPsarwqcMFeKtABotl4oILd69C9QLePvI1rh54jZjL5MeNjL+Lw5Q9ix/oZ3/EtjgegY5+oa8sHekvvM6zpexYrO13z2u79nFv7AgY7Lqa364WEUpO+duyJhrX5QG/seZqm0weK6l1z/DGG11/CSOelnN1yHaHkhHbsSqkLEqiFcvMFumdX41X56Xjwd/HcfIHu8YK9NtXs6+I57xy6UxDoVw2eLAp0gLpUiMuevBamWrFj/Zzduc/3xXPnOnbmA73tTHFAAljZDG1nDtDS+wyIuON9NNx5WT7QW7r3z1pvS/d+GnueBrHc8UqpZROAj15dcoEJ9XID3ROEYC830D1+B3vhojhvyn3X0Ok5x4fTMXY8dT3OVDtWrJ9ndj/oW7AnY/Uk6tsQJ82avmdLjm3pexZx0iTq20jG6pepwmKpeCNTDWsRJ03T6QMlxzadOYA4aaYa1pKKNy5ThUqpahSIUF9ooHv8DPaFBrrHr2Cfuco9cWIP0VT4vA59prpkiOyxt+Mk20nXDPt2udtkfTsA9cM953W8M9nZDPXDPUXHLbdEQwcAtYMn563XcjLUDp4sOk4pVXnaqauqYHJPtohJlzU+PE8oLYesFQYglC7vDYU3zjtuuWVt98+1U+W9YfPGeccppdRiBCLUF9txL7bDXwqL7bgX2+FfqHA6xvZf3UBsoh5iZ4lv2ksqlJz3uHR4CrP1q9jRfiSxxrfd5qys+wYkEy7vz/bGecctN8tx/1wnUt7/W2+cd5xSqtIq26Wv+k59ocHuZ6B7FhrsfgW6xwv28GQTdrQf66IvMR6ZuwtPh6c4vPt+JDaAk2xn/YHX+rYZTc1YPwBjTZ1krdIXbThWiLGmzqLjllt8tBeAiZaueevN2iEmWrqKjlNKqcUITKhD+cEehED3lBvsfge6J5yOcfFT15OdaseO9XP48tkXv3nn4JM1ozjJdpLH3snaxPydfaVEp8aIjw1g7DDn1r6g5NjBtS/A2GHiYwO+7TAXSYwQG+3D2GGG119ScuzwukswdpjYaF+gdphTqqoJiCUV/fJDoEId5g/2IAW6Z75gD0qge8LpGK2HbsaZaofYWX51xSOMR6c7dq9DL1wl3zXm/65ya3oPgTEMdlzMwLpLcGZ0wI4VYmDdJQx2XAzGuON91NTzKzBZRjovZXDD5WTt4nqzdojBDZcz0nkpmKw7XimlLkDgNp+BuTeY8b73BCHQPXNtMAMEKtA9m8dHSTz3Fsa3fws71s+h3b8ge+zthLMZzNavIrHRfKC3T0zRNeX/tHDt+ABrTz5OX9dVDHZczFDb1vN2lDN2GIyh4+Qvfd8qNj7aR+uxRzi75VpGOi9ltOMF5+0o59abpfXYw4HZeEZ3iqu8IO0UV66VslNcuXRHuWU2W7AXClKge2YLdiBwge7ZOdzH8UM3c3bnPuxYP1z0JRzAjg7kp9w3jw0FItA9TYPHCacm8nu/j67ZXHR/0PZ+rx94nlByPL/3+3jb1qL7de93pfxThZke3FCH84PdE8RA98wMdiCQge7ZPD5K55NX88zuB6HGXVQmiTV0HXgVaxOHfa5udrXjA9QeGVgxn9IWH+0jPtoX+E9p009bqzw/P21tsQL/aWuqSKBDHc4P9iAHuqcw2IHABrrHWzz33GU/B2D7r64jnPZvUVy5olNjgQzxuUQSI4EKcaVWvSps1QMf6jAd7N73K4EX7N73Qedd7uZ9r5RSauVZEaEOKyfMC62EMC+kYa6UWjWkOhfKBe6SNqWUUkotzorp1JVSSqml498GMZWknbpSSilVJbRTV0optSrpOXWllFJKBZZ26koppVadat0mVjt1pZRSqkpop66UUmr10evUlVJKKRVk2qkrpZRalbRTV0oppVRgaaeulFJqVZIqbGur8FdSSimlVqeyO3URsYHHgB5jzBsqV5JSSilVaVKVn6e+kE79j4FDlSpEKaWUUhemrFAXkQ3A64HPV7YcpZRSahnkrlOv5Jcfyp1+//+APwHq5xogInuAPQBtHR0XXplSSilVIdW6Tey8oS4ibwD6jTG/FJFXzDXOGLMX2AvwgksuMXWx2JIVWWk1DbV+l7AgtY0Jv0tYsKH9vX6XsGBnz/X4XcKCXHrpDX6XsGCbNl3idwkL1tDc7HcJC5JyHL9LUMuonE79JcAbReRmIAY0iMhXjDG/W9nSlFJKqcqpxk593nPqxpjbjTEbjDGbgbcCP9ZAV0oppYJHN59RSim1Kom1Cjv1QsaYn+o16koppdTSEJGbRORZETkiIh+Z5f53iMiAiDyZ+/qDUo+nnbpSSqnVx8fLzqZLEBv4LPAaoBt4VETuMcYcnDH0G8aY95bzmLpNrFJKKeWPa4EjxpijxpgU8HXgTRfygBrqSimlVqVl2HymVUQeK/jaM6OETuBUwc/dudtmeouIPCUi3xSRjaV+J51+V0oppSrjrDHm6gt8jP8N/IsxJiki7wH+F/DKuQZrp66UUmrVcXeUq+xXGXqAws57Q+62PGPMOWNMMvfj54EXlnpADXWllFLKH48C20Vki4hEcPeCuadwgIisK/jxjczzwWo6/a6UUmpV8vs6dWNMRkTeC/wAsIG7jTEHROQTwGPGmHuA20TkjUAGGATeUeoxNdSVUkopnxhj9gH7EO4tcwAAIABJREFUZtz2ZwXf3w7cXu7jaagrpZRafbyT6lVGz6krpZRSVUI7daWUUquQ/zvKVYJ26koppVSVWDGd+lODjwGwu+VCr+NfPqPWOQAasmt8rqQ8Z+tOAtA63uVzJUopVXnV2KmviFB/avAx7j76aQDeyYdWRLCPWuf4SdNXAbhx+HcCH+xn605yaMvPANh57OUa7EoptQIFfvq9MNAB7j766XzXHlReoGfFISsOP2n6ar5rD6J8oAsgcGjLz/Jdu1JKVatl2Pt92QW6U58Z6J67j346sB17YaBbxgbIB3sQO/aiQDe5G3PBHvSOPVPbQqp5AyYURjJpIkPdhCYG/S5rTtn1F8PmqyAUg8wUHH8c6/QzfpeVd89VX17UcW98/PeWuJLy7bv2G4s67uZHbl3iSsrz9e2fW9Rxb33uD5e4kvLd/J2XLeq4fbfct8SVLC0R/zefqYTAhvrMQH/nRR8CyN8WxGCfGeg3Dv8OQP62oAV7YaAbA5On3g5AzcYvIblg7zz+a1w01u5zpcVSzRuY2HI16ebzP8woPNRD7bHHiAx1+1DZ7LI7Xgq7boRIvPiODZeSTSXg4E+wDt/vT3FKqaoSyFCfLdC98H4nHwpksM8W6F543zj8O4EL9pmBnjj5O6wbX0fMZBg9cQuJTd9BBLo3/4DU8Zu5eCwYb0QS63YytvMVIBaSSRHtfx4rOUE2WkuyfSvp5k6Gm9ZRf+inxM+U3CJ5WWSveYvbnUvuL3r8HEyNQ6wO6ta4QX/568g2tmM9+m2/ywXK77wX29lXQrmd92I7+6VWbue92M6+EsrtvBfb2ftBF8otg1KBDu7q96AFe6lAB3f1e5CCfWagN554I9ePhghxOvcL1dF37BUc3vJTRKB/8z4iAejYU80b8oFec/yX1Bz/JZaTzt+fPfxzJje/kMnNL2Rs5yuwp8Z87dizO146HehnT8CDX8WaGp++P1YH1/8OtG6CzS8kO9KvHbtS6oIEaqHcfIHu2d1ydX46HvxdPDdfoHu8YLeM7eviudkC/fLRRkJki8atHd/IzmMvB+NmUs/mH/i+eG5iy9X5QK97/hdFgQ5gOWnqnv8FNcd/CWK54/2068Z8oFs//qeiQAewpsaxfvxPbuCLuOOVUssmAB+9uuQCE+rlBronCMFebqB7/A722abcLxltnnN863gXO469AmPwfVV8praFdHMnkkm5oV1CzfFfIpkU6eZOMrUty1Rhsez6i92pdWPgwa+WHvzg19xxkbh7nFJKLVIgQn2hge7xM9gXGugev4J95ir3yVNvp2N8w3kd+kxrxzcSP3GL78Geat4A4J5Dn9Ghz2Q5aaL9zxcdt+w2X+X+d/zceR36TNbUmHuuvfA4pVSFVfZyNr/O1wci1JU/YiZT1rgIToUrmZ8JhQGwkhNljbdSk0XHLbtQzP3vPIGe5/1e3nHq/7Z370Fyleedx79P99wv0kgIgYSQNCKAkY1jQIhbsB2Ml0scg+1aG2UTJ95s5NSGFN54K0uyW96K9491Lk4lu/G6Vo7t2LUxBBtjs7aIQtbYAXOTEDIXCclYI4Qk0EjWZTT3mZ5n/+g+TU9r1Dd1z3m7+/ehunS6+5yehwHNb57zvuc9IlKBIEK90o670g6/GirtuCvt8M/WkuGV2TFyLH3Z2lDP3qLHHe3Zz9Cqh9PjQx7fanM2ne7OZ9q7S9p/pq1r1nHzbno8/WdHT2n7R/9e0XEiUnsNOKgeRKhD+cEeZ6BHyg32uAI9khvsZjC26iEO97x+xv3zx+BXDdwc22I00Sz2iaUXMZMs3H3PJFuZWHrRrOPm3b7t6T97zknPci9gpqM3fXlb7nEiIhUIJtSh9GAPIdAjpQZ73IEeyQ/2Pf0/nHOMPD/QE699lJXDy+a93kjLyDFajx/EW9oYXX1VwX1HV1+Ft7TRevxgbCvMJQ69ApNj6W/y9f+m8M7X/1p6v8mxoFaYE2lomRXlavmIQ1ChDsWDPaRAjxQL9lACPbJkeCUX7Ltl1uS33I79tJXm9v8GbzsVzyzyXN0D28BnGF19FcMXXXtaxz6TbGX4omvToe8z6f3jtPOx9DdwySpmbvpkuiPPMdPRy8xNn0xfp+6e3l9E5CwEt/gMnHmBmWg7EkKgR860wAwQVKBH1pxayuS+2xlcvRkz2N3/Q/a/9iHaSDG0anagv32ojyV+Iu6SaTt+gN5dP+TUZe9ldPVVjK24PD0bfnKUmbYuJpZehLe0gc/Qu+uHsS8Vm9jzBDMLz0vPaF+yCn71XmaGf56eFNfenT7lHq00t++5YBaeCWmluFKFslJcqUJaKa5U9bRSXCkMrSg3r+YK9lwhBXpkrmAHggv0yNtOnUPbvls4uHpLdox9jLdyJvHaR1l3qjuIQI90vrGL5Pip7Nrv48svm/V+aGu/J7Y+yMzJw2+t/d67JP2IaO13EamiYEMdTg/2SIiBHskPdiDIQI+sObWUBQPvYVf/j96arOmweuBmVg63A6VdQjaf2o4foO34gbq5S1tizxOw54ng79IW593WKhXX3dYqFefd1ioV+t3WzoY69RjkB3vIgR7JDXYg2ECPRJPndvX/CIguW4tvUlypWkaOBRniZ5I49AoEFOIi0niCD3V4K9ij7XoQBXu0HbrsrPjMtohIQ4tx1bdaqotQh/oJ81z1EOa5FOYiIvWtbkJdRESkmhqxUw/uOnURERGpjDp1ERFpStaAba1CXUREmk6jLj7TgL+niIiINCd16iIi0nzSrXrcVVSdOnUREZEGoU5dRESaksbURUREJFjq1EVEpAk15jKx6tRFREQahDp1ERFpSpZowk7dzDrM7Fkz+4mZvWxmfzIfhYmIiEh5SunUJ4Cb3H3YzFqBJ8zsEXd/usa1iYiI1IY15uz3oqHu7g4MZ562Zh5ey6JERESkfCWNqZtZEngO+AXgC+7+TE2rEhERqaFGXfu9pFB39xTwLjPrAx4ys3e4+0u5+5jZRmAjwLnnn8/Q2FjVi62VkZMjcZdQlrHh+vneRrwOT+4MDu6Pu4SyHDr0atwllG3p0lVxl1C2seH6+nlx5NiJuEuQeVTWJW3ufgJ4DLh1jvc2ufs6d1+3YNGiatUnIiJSE2a1fcShlNnv52Y6dMysE3g/8EqtCxMREZHylHL6fRnwtcy4egJ4wN2/V9uyREREaqwZx9Td/QXginmoRURERM6ClokVEZHmY4YlavsorQy71cx2m9mrZnZvgf0+YmZuZusKfZ5CXUREJAaZYe0vALcBa4ENZrZ2jv16gXuAopeTK9RFRKQpmVlNHyVYD7zq7nvdfRK4H7hjjv3+G/CnwHixD1Soi4hIUwog1C8AXs95fiDzWm6NVwIXuvv3S/lA3aVNRESkNpaY2bac55vcfVOpB5tZAvhL4LdKPUahLiIiTWeelok96u6FJrYdBC7Meb4i81qkF3gH8MNMrecDD5vZB90995eFLJ1+FxERicdW4GIz6zezNuAu4OHoTXc/6e5L3H21u68GngbOGOigTl1ERJpU3Dd0cfdpM7sb2AIkga+4+8tm9llgm7s/XPgTTqdQFxERiYm7bwY25732mTPs+95in6dQFxGR5mOlLxBTTzSmLiIi0iDUqYuISFNqwPu51E+n/tSRR3nqyKNxl9HQjvUd5FjfweI7BsQ7U3hnKu4yRESCUBed+lNHHuWRwW9kn1937vtjrKYxHes7yN7Lnko/2XUdi09cUPiAAHhnisk7jwDQ9p1zsbFkzBWJSF1pwFY9+E49P9AfGfyGOvYqywa6AQZ7L3sq+I49CnQ/Zxo/Zzq9rY5dRJpc0J16fqBHotfUsZ+9WYHumRczwR5qxz4r0Id60r9tn3OKiQ8fo/3bi4Pt2Fv7r6Tj0l/C2rvwiVHGdz/B1MD2uMvK2vaBpyo6bt33rqtyJaXbvP7+io67/dm7qlxJab57xdcrOu6O5z9e5UpK95s/+mBFx33tPWVfYj3v4r5OvRaCDfX8QL9t6a8BbwW6gv3s5Qf6ml3pH87RayEGu3emmPjICeibJjWxlLE3NwLQ2baJ5KJBxjZMkNzcT/ubh2Ou9C0d77qdrqvvINHePev19l9Yz8zECKNbv8v4js1nOFpEpHRBhvpcgZ4b3gr2szdXoGfDe9d1QQa7d6YY/9dD2IIxUhNLGf/Zb9H2xuskJ0ZIvfleWP8Yya4jTH+ghZl/vozOfT+Lu2R6btpI+2U3Yma4O6mTh/GxIaxzAcmF55Fo76b7hg0kF1/AyA++FHe5QOmdd6WdfS2U2nlX2tlXW6mdd6WdfS2U2nlX2tnPNzN16vOiWKBH2wr2yhUMdEhvBxbsUYceBbo/sZ5Fe75JIjWV3Se1t5PJjywg2TtI6maY+N6FsXbsHe+6PRvoU2/sYeiRv8ZHT2bft66FLLjtHlqXXULHZe8mdeygOnYROStBTZQrFuiR6859f/Z0PGjyXDmKBXpk8YkL0qfjndgnz2Vnufe9Feg9u3bMCnSA5PAMHQ9046cWkOwYJHX7QKyT57quviMb6Ccf/OysQAfw0ZOcfPCzTL2xBzOj6+o7YqpUpDlZwmr6iEMwoV5qoEcU7OUrNdAjIQR77qS46JR7156Xz7i/jSVpe7CP1Pi5JLqOMfHhY7EEe2v/lSTau3F3hh7564L7nnrkf+LuJNq7ae2/cp4qFJFGFESolxvoEQV76coN9EicwZ4/y33stY20vnH4tA49X3J4htSzv0xqYiksmojlcreOS38JID2Gnteh55sZPc7MycOzjhORWjPMavuIQxChLlJU5i9IcmKkpN0TU6O1rKYoa+8CwMeGStp/JrNfdJyISCWCCPVKO+5KO/xmVGnHXWmHXw02lkyvFPfzFqz3FJ2rNpHqKf6/rHemSFzzOMn2QXyoJ5bV5nwi/UuFdS4oaf9EZr/oOBGpPXXqNVRusCvQy1dusMcZ6JEo2DneTrJ9kOT6xwoGu3emmPzQURI9J0lNLKXl+ytjWYxmfPcTACQXnod1LSy4b6JrEYmF5806TkSkEsGEOpQe7Ar0ypUa7CEEesTGkrR/ezEzo4tJdhxh8iMn5hwjz47BL54iNbGUqRd+ldafl3b6u9qmBrYzMzGCmbHgtnsK7tt72+9jZsxMjAS1wpxII4uuU1enXmPFgl2BfvaKBXtIgR6xsSTJzf2kxpdivUOMf3RkVscedejRLPmxff+u4Cz5+TC69bu4O63LLmHhRz5DomvRrPcTXYtY+JHP0LrsEtyd0a3fjalSkeaUDvbaPeIQ3OIzcOYFZvK3FeiVO9MCM0BwgR5pf/MwM/98GambIdk7yPhd7aSe/WUSU6MkrnmcRM9UNtC7X9pK2/EDsdY7vmMzLYtX0H7ZjbQuu4RFn/gfzJw8zMzYEInOBSQWnpddaW58178Es/BMSCvFlSqUleJKFdJKcaWql5Ximl2QoQ6Fgx0U6NUwZ7BDkIEe6dz3Mya+dyGp26dJdh2Ba34IQKL9ZPaU+4I9P4g90CPDP9jE9LED2bXfk33nk+w7P/u+1n4XiVFMC8TUUrChDqcHe0SBXj35wQ4EG+iR9jcP4/e1M/HhdpKLBgHSs9y/v4Tun2+JubrTje/YzPiOzcHfpS3Ou61VKq67rVUqzrutVaoe7rYmbwk61OH0YFegV9+sYCfsQI9Ek+cm7zwCQPt3erESrwmPy9TA9qBCXKTZ6YYuMZnrhi5SXVGwZ7frQPZyt8y2iEizq4tQB4X5fKiXMM+lMBeRisR42VktBXdJm4iIiFSmbjp1ERGRalKnLiIiIsFSpy4iIk3HgIQ6dREREQmVOnUREWlKGlMXERGRYKlTFxGRpqQxdREREQmWOnUREWk6cd7zvJbUqYuIiDQIdeoiItKEDKPxWnV16iIiIg2iaKduZhcCXwfOAxzY5O5/XevCREREaqkRZ7+Xcvp9Gvi0u283s17gOTN71N131rg2ERGRmmnKxWfc/Q13357ZPgXsAurvxtsiIiINrqyJcma2GrgCeGaO9zYCGwHOPf/8KpQmIiJSG0Zjduolh7qZ9QAPAp9y96H89919E7AJ4JK3v917OzqqVmStTU9Nx11CWSbHJuMuoWwdHT1xl1C2kZETcZdQlpdeejzuEsr2zsvrb67uosX11bSMnBiJuwSZRyWFupm1kg70v3f3b9e2JBERkdprxIlyRX9NtvT5iS8Du9z9L2tfkoiIiFSilE79BuA3gBfNbEfmtT929821K0tERKSGzJpzTN3dn4AGXHZHRESkwWiZWBERaTpGk46pi4iISG2Y2a1mttvMXjWze+d4/3fN7EUz22FmT5jZ2kKfp1AXEZGmFN1+tVaP4l/fksAXgNuAtcCGOUL7G+5+ubu/C/gzoOCEdYW6iIhIPNYDr7r7XnefBO4H7sjdIW9dmG7S92A5I42pi4hIUwrg1qsXAK/nPD8AXJO/k5n9HvAHQBtwU6EPVKcuIiJSG0vMbFvOY2MlH+LuX3D3i4D/BPyXQvuqUxcRkaY0D7Pfj7r7ugLvHwQuzHm+IvPamdwPfLHQF1SnLiIiEo+twMVm1m9mbcBdwMO5O5jZxTlPfwX4aaEPVKcuIiJNJ4S7tLn7tJndDWwBksBX3P1lM/sssM3dHwbuNrObgSngOPCbhT5ToS4iIhKTzJLrm/Ne+0zO9j3lfJ5CXUREmk+Drv1eN2PqLxzfxgvHt8VdRlkO9fyUQz0Fhz+CMrzgKMMLjsZdRlkmVgwxsWKo+I6BSPYmSfYm4y5DRBpUXXTqLxzfxlf3fh6AT6z5NO9cVGgyYRgO9fyUV5Y/nnkCy4cvLnxAzIYXHGXvuicBWLPtenqGlsRcUXETK4YYu+VQ+skWaD+wIN6Cikj2Jum/tx+Agc8NkDqVirkikeamtd9jkBvoAF/d+/ngO/ZsoBtg8Mryx4Pu2LOBnql377ong+/Ys4GeqXnslkNBd+xRoHdc0EHHBR3039uvjl0kZpY5BV+rRxyC7tTzAz3y1b2fD7ZjnxXo0WJ+mWAPsWOfFeg59e5d92SwHfusQM+peeyWQ0F27LmBPn5wHCAb7CF17OP3VvbjoONz01WupHTP/sqPKzpu/fdvqHIljevf/2RDRcf9r1+8r8qVSCmC7dTzA/0Taz7NJ9Z8Ovs8xI49P9DfduhG3nboxnTwBNix5wf6mm3Xs2bb9dl6Q+zY8wO9c8tyOrcsz9YcWseeH+gDnxtg4HMDjB8cV8cuEqPokjZ16vNgrkCPuvJPrPl09r2QOva5Aj3blR8i+14oHftcgR515Wu2XZ99L6SOfa5Az3blW8i+F0rHPlegR135wOcGsu+F1rEv+r83suB9n8QSCWYmxxj/6dPMjBwn0b2IjouvJdHWic/M8FrXr8ddalapnXelnb2U3nlX2tlLdQTXqRcKdIB3LloXXMdeMNBJB3hIHXuhQAfoGVoSXMdeMNBJB3hIHXuhQAdInUoF27FHgT787EMc+dInGXr0iww/eT9Dj36RI1/6JMPPPoQlgvvRIVK2hNX2Ecu/Uzxfdm7FAj0SUrAXC/RIKMFeLNAjIQV7sUCPhBLsxQI9EmqwR4E+/OR9+NT4rPd8apzhJ+9j+NmHYqpORAoJJtRLDfRICMFeaqBH4g72UgM9EkKwlxrokbiDvdRAj4QY7DOTY4xsLRzaI9u+k91uWbyi1iWJ1ITV+J84BBHq5QZ6JM5gLzfQI3EFe7mBHokz2MsN9EhcwV5uoEdCC/bxnz59WoeezyfHstttKy+vdUkiUqIgJ8qJSHxmRo6Xtb+1ddaoEpHaMTMtPlMrlXbclXb41VBpx11ph3+2Ku24K+3wq6HSjrvSDv9sVdpxV9rh10qie1FZ++d27SISryBCHcoP9jgDPVJusMcV6JFygz3OQI+UG+xxBXqk3GAPLdABOi6+FmvtKLhPbnc+uf/FWpckUhONeJ16MKEOpQd7CIEeKTXY4w70SKnBHkKgR0oN9rgDPVJqsIcY6ACJtk66r/5QwX26192Z3Z4+dqDWJYlIiYIKdSge7CEFeqRYsIcS6JFiwR5SoEeKBXsogR4pFuyhBjqAz8zQs/5D9Fy/4bTxcmvrpOf6DfSsLxz6IvWgETv1ICfKRcGev3JctB0JIdAjy4cvnnPlOCCoQI9EwZ6/chwQXKBH2g8smHPlOCCoQI9EwZ6/chwQbKADb60U9+7MY9aPiSngm5lHOLRSXO1ppbj6EGSow9zBniukQI/MGewQXKBH5gp2IMhAj8wZ7BBcoEfmCnYg2EAXaSaNOPs92FCH04M9EmKgR/KDHQgy0CP5wQ4EG+iR/GAHggz0SH6wA0EG+lx3W2tZvIK2lZdjbZ345BiT+18Magxdd1urPd1trb4EN6aeL3+MPeRAj8waYw840COzxtgDD/TIrDH2gAM9kjvGHmKgn8n0sQOM7niEkWe/zeiOR4IKdJGzobu0xSg32EMP9EjUsWe3A5cN9sx2PYg69ux24KJgj7ZFRKqtLkId6ifMc9VDmOeqlzDPVQ9hnkthLhKIGLvpWgr+9LuIiIiUpm46dRERkWqK657ntaRQFxGRphTX7VFrSaffRUREGoQ6dRERaTpGYy4+o05dRESkQahTFxGRpqRL2kRERCRY6tRFRKQpqVMXERGRYKlTFxGRpmNmmv0uIiIi4VKnLiIiTakpx9TN7CtmNmhmL81HQSIiIlKZUk6//x1wa43rEBERmVeWuf1qrR5xKBrq7v4vwLF5qEVERETOQtXG1M1sI7ARYOmyZdX6WBERkZrQrVcLcPdNwCaAK6+6yq+/5JJqfXTNDX14LO4SyvLG/sG4SyjbZYcvi7uEsi1b3h93CQ3vonddFHcJZTtv9dK4SyjLe9f/YtwlyDzS7HcREWk6hu6nLiIiIgEr5ZK2+4CngEvN7ICZ/XbtyxIREamtRpz9XvT0u7tvmI9CRERE5OxoTF1ERJqP1n4XERGRkKlTFxGRptSUa7+LiIg0GgMSmVPwtXqUVIfZrWa228xeNbN753j/D8xsp5m9YGb/z8xWFfo8hbqIiEgMzCwJfAG4DVgLbDCztXm7PQ+sc/d3At8C/qzQZyrURUSkKQVwSdt64FV33+vuk8D9wB25O7j7Y+4+mnn6NLCi0Acq1EVEROJxAfB6zvMDmdfO5LeBRwp9oCbKiYhIU5qHiXJLzGxbzvNNmfuklM3Mfh1YB7yn0H4KdRERkdo46u7rCrx/ELgw5/mKzGuzmNnNwH8G3uPuE4W+oEJdRESajlkQt17dClxsZv2kw/wu4NdydzCzK4D/Ddzq7kVv0akxdRERkRi4+zRwN7AF2AU84O4vm9lnzeyDmd3+HOgBvmlmO8zs4UKfqU5dRESakAVx61V33wxsznvtMznbN5fzeXXTqT+w+z4e2H1f3GWUZefJ7ew8uT3uMko2MLWTgamdcZdRlr28yF5ejLuMkk23TTDdVnBITESkYnXRqT+w+z4+v/0vss8/emn4N47beXI7/3DgbwD4GHezduGVMVdU2MDUTraMfx2AW/g4/a356x+EZy8vsrUz8wvuGKzh8ngLKmK6bYLXrnkWgFXPrKdlsj3mikSam5aJjUF+oH9++18E37HnBjrAPxz4m6A79txAB9gy/vXgO/ZsoBtgsLVzc9AdexTok73DTPYO89o1z6pjF5GqC7pTzw/0SPRaiB17fqBH/uHA3wTZsecHemTL+NeD7dhnBbpnXswEe4gde26gJ0b6wIzJ3uPsu3Yrq5++OuiOfbS1i6HORaQSSZIzKRaMHadrarT4gfPkv0/8YUXH/VF7wZU2a+ZTu3+rouP+6tK/q2od5Vj7pcp+Buz8nbAbA6Ahb70abKjnB/qnr/yPwFuBHmKw5wf6x1bcDZB9LbRgzw/0Wzo+DpB9LcRgzw/0q8duB8i+FlqwT7dNMHDtNqZ7hklNLGX44EYAOldtgp5BfnrDC5y37UYWnxqPudLZTnb0cahvFac6+057r3fsBMtPvMbC8RMxVCYihQQZ6nMFem54hxjscwV6FN4f4+7ggn2uQI/C+xY+HmSwzxXo2fAeCy/Yp9sm2HvddlLdQ6QmljI+8G85Z2iY1tQEk8N3Mr72OyQ6Bzl09Y+Zev4mzjt+MtZ6I0d6zmdgySVgRmJmmsUjR2lNTTCVbOdY9xJOdfaxu2Mh/Uf3cO7wm3GXC5TeeVfa2VdbqZ13pZ19LZTaeVfa2c83Q2Pq86JYoH/00g3Zrh3CGGMvFOgAaxdeme3aIf4x9kKBDtDfujbbtUMYY+wFA510gF89dnv6dHwAY+xRh57qPkFqYim9L9zOFQMvsebobi48vo+L3nydX/jxL5IYXUSyY5AjV/yAY70dsdUbOdnRlw30ZSf2c8X+p7M1rzm6myv2P82yE/vBjIEll3Cy4/ROXkTiE1SoFwv0SEjBXizQI6EEe7FAj4QU7MUCPRJKsEdj6NM9Q9lAX3XkMElPzdqvfaKFi568Ihvsh9c9HvvkuUN9q7KBfuHxgdNqTnqKC48PZIP9UF/BWzuLhKvGd2iL6yxAMKFeaqBHQgj2UgM9EnewlxrokRCCvdRAj8Qd7LmT4qJT7iuOHj3j/i2T7ax+ah0z40uh8yj7rt0aW7CPtnZxqrOPxMw0y0/sL7jv8hP7ScxMc6qzj9HWrnmqUESKCSLUyw30SJzBXm6gR+IK9nIDPRJnsJcb6JG4gj1/lvvYaxtZPDR+Wrebr32ihY6dd5KaWMpUz6nYLncb6lwEwOKRo0VrTnqKxSNHZx0nUm8SZjV9xPLvFMtXFWl0mb/QranSwrklNVnLakqSSiSB0mtuzdQcHSci8Qsi1CvtuCvt8Kuh0o670g7/bFXacVfa4VdDpR13pR3+2WqZbGfVM+tpO9XDTNdxOldtYrK9cMcL6Q5/7O0Pk2wfJDHSF9tqc8mZdK1TydK+9lSybdZxIvVGY+o1VG6wxxnokXIx1lW5AAAIk0lEQVSDPa5Aj5Qb7HEGeqTcYI8r0CNRsLcO95JsH2R87XeYaJ8+4/7RKXvvOkZqYinLt94Q22I0C8aOA3CsewkpK9x9pyzJse4ls44TqSdG+tartXzEIZhQh9KDPYRAj5Qa7HEHeqTUYA8h0COlBnvcgR5pmWxn9dNXw9gSEh2D7Ltu25xj5PmT6pK7P0bv6My81xvpmhqld+wEM4kWDvWtLLjvob6VzCRa6B07EdQKcyLNLqhQh+LBHlKgR4oFeyiBHikW7CEFeqRYsIcS6JGWyXbO23YjqfGlzHQd52fXPz+rY88P9LF9v8PyArPk58vyE6+BO2/0reT1Rf2ndewpS/L6on7e6FsJ7un9ReqU1fifOAS5olwU0vkrx+VvhxDokbULr5xz5bhoOxJ3oEf6W9fOuXJctB0JIdAja7h8zpXjgKACPbL41DhTz9/EkSt+AF2DvHrDT+jYeSctqUnG3v4w3vVWoK8+fCiIZVcXjp+g/+geBpZcwht9Kzm8YHlmRblJppJtHOtewkyiBdzpP7oniJohnJXiShXSSnGlqpeV4ppdkKEOhYMdwgr0yFzBniuUQI/MFey5Qgr0yJzBDsEFeuS84ydp3XoDh9c9TqJzkLG3fweAZPux7Cn3S47uDSYcAc4dfpO26fHs2u9He8+f9b7WfpdG0YjLxAYb6nB6sEdCDPRIfrBHQgv0SH6wR0IM9Eh+sANBBnpk8alxFvz4ney7div0DAKQGOljxdar6R19Nebq5rZw/AQL3zwR/F3a4rrbWqXivNtaperhbmvyluDG1PPlj7GHHOiR/DH2UAM9kj/GHnKgR2aNsQcc6JFo8lzbqR7aTvVw0VNXxjoprlRdU6OcP3SQC07s5/yhg0EFusjZsBovPBPX4jNBd+qR/Bu61IOoY4+2Qxd17NF2PYg69ux24KLL3aJtEZFqq4tQh/oJ81z1EOa56iXMc9VDmOdSmIuEoxHH1IM//S4iIiKlqZtOXUREpJrUqYuIiEiw1KmLiEjTSa/9rk5dREREAqVOXUREmpLG1EVERCRY6tRFRKT5xHjP81pSpy4iItIg1KmLiEgTiu+e57WkTl1ERKRBqFMXEZGmYzTx7Hczu9XMdpvZq2Z2b62LEhERqbVGvPVq0VA3syTwBeA2YC2wwczq73ZeIiIiDa6U0+/rgVfdfS+Amd0P3AHsrGVhIiIitdSsp98vAF7PeX4g85qIiIgEpGoT5cxsI7Ax83Siu739pWp99jxYAhyNu4gy1VvN9VYvqObae6DO6k1TzbV3aa2/wHPPPbfFzJbU+MvM+/e8lFA/CFyY83xF5rVZ3H0TsAnAzLa5+7qqVDgP6q1eqL+a661eUM3zod7qBdU8H8xsW62/hrvfWuuvEYdSTr9vBS42s34zawPuAh6ubVkiIiJSrqKdurtPm9ndwBYgCXzF3V+ueWUiIiJSlpLG1N19M7C5jM/dVFk5sam3eqH+aq63ekE1z4d6qxdU83yot3qDYe4edw0iIiJSBVr7XUREpEFUNdTrbTlZM/uKmQ2aWV1cfmdmF5rZY2a208xeNrN74q6pGDPrMLNnzewnmZr/JO6aSmFmSTN73sy+F3ctpTCzfWb2opntmI+Zw9VgZn1m9i0ze8XMdpnZdXHXVIiZXZr5/kaPITP7VNx1FWJm/yHz9+4lM7vPzDrirqkYM7snU+/LoX9/Q1S10++Z5WT3AO8nvUDNVmCDuwe78pyZvRsYBr7u7u+Iu55izGwZsMzdt5tZL/AccGfg32MDut192MxagSeAe9z96ZhLK8jM/gBYByxw9w/EXU8xZrYPWOfudXMtspl9DXjc3f82c2VNl7ufiLuuUmR+3h0ErnH31+KuZy5mdgHpv29r3X3MzB4ANrv738Vb2ZmZ2TuA+0mvZDoJ/CPwu+7+aqyF1ZFqdurZ5WTdfZL0f5g7qvj5Vefu/wIci7uOUrn7G+6+PbN9CthF4Kv7edpw5mlr5hH0RA4zWwH8CvC3cdfSqMxsIfBu4MsA7j5ZL4Ge8T7gZ6EGeo4WoNPMWoAu4FDM9RRzGfCMu4+6+zTwI+DDMddUV6oZ6lpOdh6Z2WrgCuCZeCspLnMqewcwCDzq7qHX/FfAHwIzcRdSBgf+ycyey6zuGLp+4Ajw1cwwx9+aWXfcRZXhLuC+uIsoxN0PAn8B7AfeAE66+z/FW1VRLwE3mtk5ZtYF3M7sxc+kCE2Uq0Nm1gM8CHzK3YfirqcYd0+5+7tIr0a4PnOKLUhm9gFg0N2fi7uWMv2Su19J+m6Kv5cZWgpZC3Al8EV3vwIYAYKfhwOQGSr4IPDNuGspxMwWkT5b2g8sB7rN7Nfjraowd98F/CnwT6RPve8AUrEWVWeqGeolLScrZyczLv0g8Pfu/u246ylH5vTqY0DIyzPeAHwwM0Z9P3CTmf2feEsqLtOV4e6DwEOkh8NCdgA4kHPW5lukQ74e3AZsd/fDcRdSxM3AgLsfcfcp4NvA9THXVJS7f9ndr3L3dwPHSc/VkhJVM9S1nGyNZSadfRnY5e5/GXc9pTCzc82sL7PdSXoi5SvxVnVm7v5H7r7C3VeT/n/4B+4edHdjZt2ZiZNkTmH/K9KnMYPl7m8Cr5tZdOOO91E/t3PeQOCn3jP2A9eaWVfmZ8f7SM/DCZqZLc38uZL0ePo34q2ovlTtLm31uJysmd0HvBdYYmYHgP/q7l+Ot6qCbgB+A3gxM0YN8MeZFf9CtQz4Wma2cAJ4wN3r4jKxOnIe8FDm3tAtwDfc/R/jLakkvw/8faYJ2At8IuZ6isr80vR+4JNx11KMuz9jZt8CtgPTwPPUx0ptD5rZOcAU8Ht1NoEydlpRTkREpEFoopyIiEiDUKiLiIg0CIW6iIhIg1Coi4iINAiFuoiISINQqIuIiDQIhbqIiEiDUKiLiIg0iP8PhhXdMZwBpWMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(9, 9))\n",
    "\n",
    "plt.pcolor(som.distance_map().T, cmap='bone_r')  # plotting the distance map as background\n",
    "plt.colorbar()\n",
    "\n",
    "# Plotting the response for each pattern in the iris dataset\n",
    "# different colors and markers for each label\n",
    "markers = ['o', 's', 'D']\n",
    "colors = ['C0', 'C1', 'C2']\n",
    "for cnt, xx in enumerate(data):\n",
    "    w = som.winner(xx)  # getting the winner\n",
    "    # palce a marker on the winning position for the sample xx\n",
    "    plt.plot(w[0]+.5, w[1]+.5, markers[target[cnt]-1], markerfacecolor='None',\n",
    "             markeredgecolor=colors[target[cnt]-1], markersize=12, markeredgewidth=2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To have an overview of how the samples are distributed across the map a scatter chart can be used where each dot represents the coordinates of the winning neuron. A random offset is added to avoid overlaps between points within the same cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w_x, w_y = zip(*[som.winner(d) for d in data])\n",
    "w_x = np.array(w_x)\n",
    "w_y = np.array(w_y)\n",
    "\n",
    "plt.figure(figsize=(10, 9))\n",
    "plt.pcolor(som.distance_map().T, cmap='bone_r', alpha=.2)\n",
    "plt.colorbar()\n",
    "\n",
    "for c in np.unique(target):\n",
    "    idx_target = target==c\n",
    "    plt.scatter(w_x[idx_target]+.5+(np.random.rand(np.sum(idx_target))-.5)*.8,\n",
    "                w_y[idx_target]+.5+(np.random.rand(np.sum(idx_target))-.5)*.8, \n",
    "                s=50, c=colors[c-1], label=label_names[c])\n",
    "plt.legend(loc='upper right')\n",
    "plt.grid()\n",
    "plt.savefig('resulting_images/som_seed.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To have an idea of which neurons of the map are activated more often we can create another pseudocolor plot that reflects the activation frequencies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 7))\n",
    "frequencies = som.activation_response(data)\n",
    "plt.pcolor(frequencies.T, cmap='Blues') \n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wehn dealing with a supervised problem, one can visualize the proportion of samples per class falling in a specific neuron using a pie chart per neuron:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Cz/7UUPw2WY4/DPBRa0JM8IGfxjk9aTn+rsCTlDbi25o7gbNiXafnpo9E3b+6tvWnRagHrsDNXVdqoEQlFZbj7wk8i5mb7bqeBo6IY/7acvxjUU/v5YaLuiXw7PMMl9Esy/GvRD31mdQInBN49lTD5TRvnYSiyReNPd/afs2d4zWWIomFQZbjD0CNCo00XNT7wF5xzNFbjj8GeAlzN9sm/wAOCDz7a8PlfIfl+PuiHkRN3GzX9XvgmFgeSN30ScA9mN+xeT1u7tJSAiRmS6nl+N8jmoQC4BDgIcvxI21/OEIxHfMJBcC5luNfG0E532I5/oWYTyhADeFOsRz/hAjK+rZmEgqAvqmvx/+0/GUtQ4ihXsAMy/G31xhTAJbjbwK8gPmEAtTunxnhLoTIWI6/FWqHkemEAtRIzzPhovPIWI6/M9EkFKCmVaaFa+Gio6ZYo0goAC7BTf9fKQESkVSE25oeJ5qEosmRQGRP8pbjW6gpjygSiiaXW45/UFSFWY6/G3B9VOWhEou7LMfPRFaimz6XZhKKJtdU3L9pB+p0brtrSiyGaIwp4G4guusGtkE9UEQi3P3we8xNIzdnD8CLqjDL8Xuh7htRJBRNjgPOiKw0Nz0cNeUR5b36atz0fsW+OBFJBWql7uAYyv2F5fjDTRcSZrbTiDZpanJ3+FRmVLgQLOqLH9R2uOlhJ2qWm94Ktdit5cqk6rf8RcW0f2guuRdqTldoYDn+kajtolH7YYQjaw7qvIKonRPuMInCLagzJ6J2fSRJvpsuQ/WpXYyX9V334qZ7FvPC2JMKy/H3Q+0ljkMX1A3J9PtwBrCX4TJashnqy2faLwFdixQLNR7ViZo2lTy+4EeW/2V8f75aqrnsH1iO/1PNMTc6luP3R22/jsvN4QF3xoQjdyUNYZcgBdwfPmQYE47AHm+yjFZ0I5ppkPOAXQyX0ZLBqIf9gsWeVBDtcHlzdgYOMxU8PJUv1p0YwHGW4+vc1vkt4fbYs0zFz9Nl4VZkM9z0HsCB+fxpKkWP+zteb2LL6y8iGZHZsF1KaXv7S5UGfma4jGvJ/0ArE4aizt8xIryZx33f+D7q4DAz3HQPWplmjcgpuOltCn1RrEmF5fh7oY5pjtsFBmMfD/QxGD9fJtt4DtGuFWlOV+B0g/F/Xsgfj0ot2nWH1Ly5muuwNXCM5pgbDcvxe6BOdY1bpakEONw+Gtk6qlaca3AE+ACiWWDbFpN96kmoBDROKeD8Ql8U90hFXNMe69s5PE3PhKS08SfhglitLMfvCFTqjlukk40MSbrpNLBnIS9JpUjd0/FGE1vPfmQg5sbiSED7d6AIXdB7sN+6Tkbf4Val2BIoerFfG5LSp34//B0jE5KQ/AIcjZsuaCortqQiHMZNUgepfeFWuONjgu64ReoK/NBA3D1JxkgMqOPcxxmIuxdFjMSkU6u2PaXc13266V5Rb4XegBwedwXWYWqhaBwLUFtiok/tjMlph8KkMHFNqSmHMdrjFqcn8INCXhBn5zSaaLcCtaWQH2SJM2YpTJx3kLQ2mqhP0U9cTsXvrC6s0fnrlZtg5nPcGCTpWp2gOzkMp1RMPTkXw8T7PZZ414usT/rU9cSZVCTlCb6JifpIG6Nnoj77FvvCilTD5jd2uONfOitDCfXZWFmOP5h4F2iurxvq7Aqd4thC2prRBg7D2hj6m3bdxjiTiqR9ATa3HH9TzTGT1kYT9dmw2+imuwMlnWVyYNmbOwxKff6xphpB8jqd9iBp1ynor1PS2liB/gPGktbGrcJDuHRKWhsLqk+cSYXuG7gOuuuUtDb2NPDkkLQ26q5PyQeWpVJ0qepw3SIdlQnFcYhae5e06xQ2/P4GNo426j4GPWlt7Bf+3Hpe4tzznqR5sSa6fva4SRLb2Bn1K5+66H7PSqW7PlrW/WxV9skuv6i479WPG/uW/J2rocMnyVmr1m4k7TqFjaO/2RjaqPtBLanXal73jTiTith+erwVun+1NIlt1Pm7FKDesyR9CXR/hmt0BTq24qWCtqW2YnW8h0K2S5H/InEeNob+ZmNoo4k+NWnyrlOc0x+5GMtuie6f7U1aG2vQO0oByWuj7s9wpeZ4OiSxTkmXtOsUNvz+BqSNxUhaG1fh5urz/eM4k4r/xFh2c74GPtQcM2ltnB14doPmmElr4yzN8XKA7t/xKNXCuCvQDiXtOgX912oS26i7Tklr4xeBZy/RHDNpbSzoOo0zqZgZY9nNeTvw7EbNMZPWRhP12bDb6OYagZe1xizdi3FXoB2aB+g8L6RUdehPKpL2Xfww8Oz/aY6ZtDZKn7qeOJOKtwHdT82l2BgujrfaScxSmHjPZxiIWawa4NW4K9HeBJ5dT7KeAOcGnq11KjLw7EXAlzpjlkj61OTELEX7SCoCz14BvBZX+c14zkDM/wD/NRC3GI3A8wbivoj+hUrFWgboPhYbkpVU/AM3l6Qn7vbkT3FXYB2m6rJBtzEc+XhDd9wSmHi//w18biBuMeqBFwp5Qdy/ITAt5vKbLMbAEHe4fqFKd9wivRJ4dqA7aPglf0p33CI9ovvpDwA3txiYrz1ucUwkhhuLKpIzOjrdUNyk9KkrgN8bip2UNr4XePbftEd1c3XAg9rjFufPuLmC1ozEnVQ8CnwWcx0AbjWwgLHJHSRji9AtBmNPMRg7X42YrcevDcbOVw64O+5KtFeBZy8G/hh3PYDnA89+10TgwLP/QjKmeaaFo9EmPAToXqtRDJP9zW2oUYK4FXzfiDWpCDx7DeDFWQfgEwx21IFnfwzcayp+nmYCz5gKHmbrcS8efCzw7HkG41cBCwzGz8dNuLkkdKbt2TXEe9ZBA3C14TJMx2/LSuBGU8EDz15F/En+YkyOmLi5D4EHjMXPz+u4uYKmPiD+kQpQ2d4/Yiz/tMCzde8zXt+lgM5jmgtRA5xgYGfL+k5FDXnGYSlwttES1D7ts4yW0br3ib8jbfcCz34HuD7GKkwJPNtofxd49hPA4ybLaMMl4aiQSTcQ76LNU8LkxqQLAN3bVfO1GjipmBfGnlSE0w4nov9Qpnw8EHj2s6YLCTx7OXCK6XJacHXg2bNNFxKu17jEdDktODPwbPNnSbi5GcT39HA6bq46prI3NFcBxr8TzXgPuDyisiYTz/kqr6CmfI0KPLsOOIF4FonfHXi2+cXbbm4ZcJrxcpr3M9xcUVN0sScVAOH84rkRFxtpmYFnv0j0T5qvANdFWN6dRD9nPS3wbFMLwppzBtGfW3Embi7u6aUNRuDZNcCxwPIIi10FHBt4diSJYZhkn0i08/KfAidGMCoKQPiwdGEUZa1jNnBRZKW5OR+4NbLylD8Dvyn2xYlIKgACz74buCyq4oB9A89eFlF5TS4lupXLbwA/CjP6SISdyVFEt77iSaLO5NV2zoOJLrE4Ezd3e0RlbTQCz56F+hyj2J67Bjgs8Ow3IyjrG4Fn+6jEIoodL18CPwjPyohM4NlTUSNPUViIamOUySjAeajFqVH4O3AYbq7oayYxSQVA4Nke6g00menOA3YLPDvy8yPCm+4pwFTDRf0F2C+Gi79p8e3BwNOGi3oQ+Gl4qFG0okssJKEwKPDsV4EfoM43MWUF8MPAs/9ssIwWBZ79IHA0ZnegLQH2CDw7a7CMFgWe7QKO4WKywO6BZ39iuJzvUjf4Sszv/HoB2L/Uc3BSjY2RjFQVxHL876Oe6IdoDNsI3AVcbHCrU94sxz8KlVz00Ri2FrW6/VdRjlA0x3L8MtT00rVAF42hvwYuDDw77h014Ka7ooYmi1rQ1Ir/AWfj5h7WHFc0w3L8LYH7gH00h34NNR3wvua4BbMcfzvUDqZtNYd+HJgcyZqmNliOvx9qp91gjWEbUd/xyyJYmNk2N30capvnJhqjrgFc4NeF/HBYSxKZVABYjt8dtR7gDCBVYrhFwMmBZ79UcsU0shx/U9Siph9rCPcOapeH7t8TKInl+MNRCeKuGsLNQH2OH2mIpY+b3gvV8YwuMVID8FvgItxcUk7U2yhYjp8CJqF2hvQoMdwq1ILMKVGtL8iH5fgdgJ+hppk7lBjuC9QC6cdKrphGluP3RO0MOVVDuA+Ak8IRreRw05ujHpAP0hDt38AJuLk5GmIBCU4qmliOPwK1teZooHuBL5+F6uwfCoflE8ly/J1QbfwR0LHAl/8Vlbn+0eABXiUJO+wDUFNb+1LYtFsd6gj13wSe/YqB6unhpsuAY1Cf43YUlgivQh33ezVuLpYhZKFYjt8H9SAzCRhY4Ms/Ae4Bbgs8O7FJoeX4g1GjiCcAvQt8+ULUwUz3JmHEtyWW448Bzket8epa4MvfQh118HDg2Uk4uLB5bno3VBsPprAksRE1RX4z8Ez4o4naJD6paGI5fjfABnYEJgDjgJ7r/Ekj6oKfGf57MdyT3m6EHdrBwPaoNo7l21MH9cBc1rbxuSQMrRbCcvxBqAx7QvhvNN/+QqxBzV/ORGXRzwae/WnU9SyJm+6PGkrfD5VEDVrvL+oJr1HU6MvruLmk/H6K4Jvpu72A3Vh7rW6+3p99ytrv4t+Bl2JZ41Mky/E7opL9nVnbxvWTjEWsbeNfAs828ds6xliO3wN139iBtfeNdUeiGlGH2jW1cUZca0OK5qb78e37xrZA53X+oo5v3zd83FxgqjrtJqlYX/j02wP15tUBK5M8GlEMy/HLUaMznVDrJVYkOnMuguX4Fag2dkTtOV8R93oQ7dx0BdAN1cZVwCrdTwfCvPDBpinJrw48e2Wc9TEhvAl3Rk3FrYpqC2xUNob7Bm76O/cN3Fxk9412m1QIIYQQIlkStaVUCCGEEO2XJBVCCCGE0EKSCiGEEEJoIUmFEEIIIbSQpEIIIYQQWkhSIYQQQggtJKkQQgghhBaSVAghhBBCC0kqhBBCCKGFJBVCCCGE0EKSCiGEEEJoIUmFEEIIIbSQpEIIIYQQWkhSIYQQQggtJKkQQgghhBaSVAghhBBCi4q4K1AMy/EHABOALYBOQD2wApgNZAPPro2xelpYjr8lMB7oD3QE6oAcMAuYF3h2Q4zVK5nl+ClgOLAdsAmqjTXAF8DbgWe/H2P1tLAcvwIYBWwL9ATKUW38BJgZePbHMVZPC8vxOwFjgZFAd9SDympgMaqNX8RYPS0sx+8OjAOGAV3D/1wNLERdq1/HVTddLMfvjepTtwQ6A43ASmA+MCvw7OoYqyfy5aaHoK7Vfqh7Yy3wFeq+8S5uzvh9I9XY2Gi6jJJZjl8GHARUAjsBm7fy5zVAFngeuCvw7I/M17B0Yef8U+BoYHugbyt/vhJ4B3gKmBZ49pfma1g6y/E3BY4FDkYlTD1a+fNlwEzgj8DDgWf/z3wNS2c5/lbA8cABqJtt51b+/DPgX8DvgccDz15lvoalsxx/W9R3cR9gNK0/nCwG/gn8DvDbS8JvOf4eqGt1d1Ty29KobiPwHvB34CHglcCzE9+pWo5fDhyI6m92AaxW/rwOmAf8BagKPHum6fqJPLnpXsBRwI9R943erfz1CtR941ngQdzcEhNVSnRSET4hnA1MQmXQhaoHfODGwLP/qrNuuoQ32guBE2k9kWjJauAx4NeBZ8/WWTddLMcfDlyB6sA6FBGiGngA+GXg2Yt11k0Xy/F3AH6GSn5TRYRYBtwFXJ/UBMpy/AOBy4HdigzxMTAFmBJ49mptFdMkHD07FrgEGFNkmPnADcD9SRxNtBy/IzAZOB8YXGSYfwJe4NlPaauYKIyb3gK4DHXf6NrGXzenDvUw8wvc3FydVUtsUmE5/t7AfbSeQRfibuCiwLOXa4pXMsvxJ6I62dayy3zVAr8Erk3K02A4wnQBcA2tP7HnazlwceDZd2mIpYXl+F2Aa4Fz0bNG6VNgUuDZT2uIpYXl+H2AqagnIh3eBU4IPPufmuKVzHL8Iaj+Zi9NIf8OnBh49nua4pXMcvzxwHQgoynkH4DTA8/+XFM8kQ83fSLwGyCtIVoNqn/2cHN1GuIlL6mwHL8zcBNwOsU98bVmMVAZePZfNMctSNhJ3wf8yED4WcDEwLPnGIidt3Aa4CFgZwPhX0R9jkaG7/JlOf73UG0cbiD8Q8DkuJNgy/EPAu4FNtUcuh64Ebgi8GwtnR7zbsUAACAASURBVFmxLMc/LaxLd82hqwEn8OwpmuMWJEzuXdSTre51dF+ikuAnNMcV63PT/YH7gR8aiD4TmIibe7fUQIlKKizH7wE8DXzfYDE1wLGBZ//eYBktshx/C2AGamGbKcsAO/Ds1w2W0aJwzv0F9N+I1hUA+wWevdBgGS2yHH9/4EmKG3rM17+BA+JaM2M5/qnAnZjdJfY0cGTg2WsMltEiy/E94FLDxUwBzotjrYXl+B1QCeqRBotpBM4PPPsWg2Vs3Nz0YNTD1DCDpXwJHIib+1cpQRKzpTQcRvYxm1CA2mXwO8vxDzNczneE6ydewWxCAdAL+HM4zx8py/FHAS9jNqEANS32SrhLJlKW4++LWiRrMqEAtfBqhuX4OoY5C2I5/smoKUPTfcQhwOPhTplIRZRQAJwDRH7DDRdjPozZhALUiPLNluOfbbicjZOb3hy1SNZkQgHQB5iBmx5XSpDEJBVAFWqldRTKUYnF9hGV17S98FnMXxhNugN/CkdGImE5/ibAn1EXZxQGopKnLhGVh+X426B2pHSKqMhxqJuu7qnAFlmOvw8qoYjKQcCtEZbXNOURRULR5GzL8c+PsDyA64AjIizvFsvxD46wvA2fm+4I/AkYElGJaeD5cKqlKIlIKizHPwr4ScTFdgSmh1s5o3A56skzSn2I9uYwBXWjj9I2qAWqxoVz0/cD3aIobx37AmdEUVA4BTmN6PuG0y3H3y+KgizHt1BrKKL2yzApNc5y/N1QOzyilALuDs+8EHr8HLU1PUr9gTuKfXHsSYXl+P1RK8vjMBr1oRkVrjH4melyWvBDy/FPMF2I5fiHoLbjxeGcsBM17QLMLDzNx/XhDgXTbqD4rYalutdy/J4mCwhHfKahf1FmPjoD94fJqTGW43dFJb9x9O8DUA8XolRuenuiHU1b12G46aJ2e8WeVAAe0Q2XN+cSy/FNT0ncTnHnM+jym/DMDyPC0Z6iM1sNylBPSMamCCzH3xy19Sou3TDcWVuOvxNwmsky2jAY80n+sejbNlqMnYFTDZdxGbC14TJaMzE8EkCU5i7UVH1cbsVNFzwqG2tSEW6tPCbOOqA+tMmmgod7w3c1FT9PvYDjDMafSOunnEZhJGrRnylno+esjVLYluOPNhj/YoOx83Wa5fi9DMa/xGDsfF1karTCcvxuwJkmYhcoCe9z++Wm90WdOhynvsBJhb4o7pGKk4luwVtrTgiHDE0wlrAUyOScfBI6MTD0XoenEJp+usxHCkOfY7ig91ATsQvUHXXMuXbh0dvFnpSp09bADwzFPgr1Wzpx+4Hl+EPjrkQ7lpQ+teD+Ju6kIs6h1nX1wsBC0XDK4WjdcYuUsRxf+3qAcAtp3Bl1k30tx9/MQNwDiXeKbl1HG9p+eQzx9wdNTI2qmRytK9SG3samI89Fodx0b8COuxqhkeHajrzF1omET0ZJymT3NBDze5g/y6AQJtoY1TbgfJShfhxJtyS1sTdmzjlJUhvHh8P4uiWpjdrrEh50tZPuuCVI0vvdnuxIvGvw1lfQ5xjnk8mEGMtujon6SBujJ21MTsxilQHb6QwYbpU1cZx6sQZZjt9Pc8zRJGM6uUlSRjDbmyR9F6HA+khSsdao8HdHdEpaG03UJ2kdh9Y2hjtKNvQ2DiD+hbbr0/2eb4f+3xIqle7vY9L6m03C3wAShWnX/U2cSUVUJ0vmqwLQ/QVIWhuHhEOkOiWtjbqfRvsDRs9OKILuNibtMwRpYzE2hjZuDJL2ORZUnziTiiStNWii+7hnaWP0NvT2gbSxGNLGeER2hP4GJGmfY3l4XHheIv8RnybdR1xWB421cZXfvLJGnYtuu49waoBEtTGVAs0Li5M2pCw2DLqvK7lORXvRrq/V2JKKVKqxlmStcAUaVuuMlkpRR+LaSLXmeKuAHppjlkJ3+3TH00HaWLhVmuPpIJ+jaE7SrtUG3FxNvn8c5/TH+zGW3Zx6INAcM2ltXJytzOoeOUlaGxdqjvcZsFxzzFLpbqPueDrorlPSrlOQz1E0L2nXakGfYZxJxcwYy27O/GxlVneGmLQ2mqjPBt3GwLMbgbd1xtRAdxuXAJ/qjKmB7uvqLaBRc8xS6W5j0r6LOZJ3g2wPkvY5FlSfOJOKf8dYdnNM1CdpF8fG0EZJnJITs1gNaE7kAs/+mmQ9NX8cePZnmmPOBvIepo7AW2FSLgqTpO8itJekIluZ/QhYFFf5zXjNQMx/AVrXaZTIRBv/ZiBmsRqBfxiIm6Q2LgPmGIibpDb+J/DsFQbiJqmNf9cdMPDsGuBN3XFLoL2NG4k3gLq4K7GOgj7HuM/6vyfm8pt8DTyqO2i2Mvs18JjuuEWan63Mak8qAs/OArN0xy3SK4Fn/9dAXB/4ykDcYjwaeLaJDue3qBGCJHjQUNyHDMUthrRRNM/NfQE8H3c1Qu/h5v5ZyAviTiruJRnDdQ9mK7MmnowAbjcUt1B3GIx9p8HYhTBSj8Cz1wD3m4hdBFNt/Aj4k4nYBaoGqgzFfgWYbyh2IRYBzxmK/TBqLUPcXgk8e0HclWjHTPbXhbir0BfEmlRkK7OfAb+Psw6opzNjN/5sZfYN1DRInJZjrqMmjP25wfj5WAg8aTD+LcSfAM8IPPsdg/GvNxg7X9MCz/7SROBwfv8GE7ELdFPg2fUmAgeevZwibgQGJOFaas+eQ62RidMy4O5CXxT3SAXApajKx+WWbGV2ruEyJqO2rMblkmxl1tjTS+DZ1cDZpuLnoRE43VRHDRB49mLgGlPx81ANnGWygMCzXwMeMFlGGz4B/s9wGfcT71z/TMyPXv6CeNerPRF4dlKG79snN9cITCLeKcnzcXMFb6ePPanIVmY/Bs6PqfgFwBWmC8lWZv9NfJn7S0Tw5BJ49mPA46bLacFdgWe/FEE5HvGtzP5ZRMPJ5wJLIiinOacFnm107Urg2Q3AicRzKFMNcIKhNTHfCEcrTiaeLbRfoB6iRKnc3OvAzTGV/ifc3PRiXhh7UgGQrcxOB56JuNg64KRsZTaqzsUFshGV1SQHnJytzEbVuUxGHRYVpQ+Ai6MoKLwZnED0O3peI6LOJfDsZcCpRH9Dmh549rNRFBR49nvAZVGUtR438OxIhrTDJDuOefkzAs+Oeyp0Q/IzYF7EZf4POK3YFyciqQgdQ3TboRqBE7KV2ciGQbOV2Rrgh0Q3LFkNHJytzEY2DBp49lLgQKJbKPYZcICh7YfNCm8KPyG6LV9zgR+HT9iRCDz7T6gRi6i8CJweYXkEnn0LcGuERd4XePavIiwP1GcYSaIWuizw7LhGKzdMbq4a1aea2NXWnJWAjZv7uNgAiUkqwt0XBwAFbV8pQj1wYrYy+1vD5XxHtjL7X2AvzJ8ytwI4yMQW0rYEnv028ANUtmvSEmCf8KkzUuET9U+ANYaLyqLaaGThYmsCz74VNS1pesRiBnBouMMmaucCUyMo5z5KePIrVjiy9hOiGQW+IvBsL4JyNj5ubhHqvmH6AfFr4MBCt5CuL9XYmKwDzzJVmW6oYbvjDIT/FDXlYWo7V14yVZkBqAVx+xkI/y4wMVuZjfVUNsvxR6K2t21nIPzrwMTAswMDsfNmOf4eqM9xSwPh/wicZHqNQVssxz8S9X3srTl0Yxj3/PDQpthYjn8BcC3QWXPoGuCqwLN/qTluQSzHrwCuA85D/4Pk18DZgWfHucB34+CmB6LO/vi+gehzgIm4uZLPHEpcUtEkU5U5GLXAcDNNIR8Gzs5WZk0/QectU5U5DbXFTcevfDYANwH/l63MJuIUT8vxOwCXoxbD6vi11mrUHOPNUU4HtMZy/B7Ar1ErtXX4EtVJ/05TvJJZjj8A9V08RFPIAJUwvaIpXsksxx+B2hmyk6aQb6EWZUa9jqpFluPvimrjME0h/wycGp5xIqLgplOotWvXAd00RKxHbSK4CjenZbQwsUkFQKYqswlwEXAK0L+IEI3Ay8CNcY9OtCRTlRmM2lZ7HMUlF3XAU8D12cpsko7o/Ybl+BngSuAwintSqkWdeHp1HNMd+bAcf0/Udsh9igyxEpgGXGvgNyG0sBz/CNQCx/FFhvgCuA24Icp1MPmyHL8c1ddcDAwtMswiVHJ/u+ldHsWwHL8LcAFqC/imRYb5D+AlKfHd6LjpIaj+ZiLQsYgIDahpsatxc2/prFqik4ommapMR+BwoBLYEejVyp83oLaKPg/cma3Mvmu+hqXLVGW6oxKLY4BxtJ6F1qKGq54C7s5WZuPaAlgQy/G3RH2GhwAZWv8yrAbeAf4APBh49ifma1g6y/FHo7Ys7g+MBMpb+fPlqB95ewx4JNx5kXiW4++M2gWzN+rmm2rlz79ErZN6GHgy8OxEjKK1xnL8MtS6oOOA3YFBbbzkY9TZFw8Cz5k8L0UXy/E7AT9C3ZR2ou2Htg+AvwBVgWf/1WztRN7cdH/gWNT9cRzQpZW/rkUdqPUsMB0394GJKrWLpGJ9marMUGACsAVqHrQOtThxNvC2wSO3I5GpypQBI1Bt7Ad0Ql0QOdTvbMzKVmbjWNimjeX4HYExqDUXm6ASjBrU0+zbwNwkPukVwnL8rsBYYFugJ1CBWtz5Ceq8i/fa+684Wo6fRnVmo1GJcBkqIVwMzAw8O0k/GlgUy/H7ob6Lw1nbaVejTnGdmdSRpUJYjj8Q2B6wUH1qA7AKtZ3xrbjX9og8uOly1IPMeKAva+8by1APaFldUxytaZdJhRBCCCGSJzFbSoUQQgjRvklSIYQQQggtJKkQQgghhBaSVAghhBBCC0kqhBBCCKGFJBVCCCGE0EKSCiGEEEJoIUmFEEIIIbSQpEIIIYQQWkhSIYQQQggtJKkQQgghhBaSVAghhBBCC0kqhBBCCKGFJBVCCCGE0EKSCiGEEEJoIUmFEEIIIbSoiLsCpbAcPwV0AWoDz66Nuz4mZKoyFUAnoDZbma2Juz4mWI7fEegIrNlQP8eNgeX4nYFyoDrw7Ia466Nb2N90BlKoNjbGXCX93HQZqo2NwGrc3IbYxnJUG+twc2viro4RbroDqk+txc1Fet9INTa2j2sm/EKPBfYD9gV2BHqivuAAtcAi4CVgBvBy4NlfxVDVomWqMj2AA4DvAePDf5us8yfVwH+AmeG/57OV2SVR17MUluP3Aw4EJoT/tgO6rfMnXwNvs7aNz7W3z3FjYDn+aGBv1n6OI/j2Q8rHqM/vLeCfwEuBZ9dFXc9SWI6/E7A7qn3jga1Z2980Ah+g2jcT+BvwertKNNTN9fvAzqz9HAet8xf1wLus/Rxfwc3NiriWpXHTnYEfADugPsMJQP91/qIGmMPa/mYGbu79qKtZEjfdE9Wnbo9q3zig1zp/sQqYxTr3Ddzcp6aqk/ikwnL8QcDlwGF8+2JoSwPwb2AK8LskPzllqjIZ4Hzgp0DXAl5aD7wA3JKtzP7ZRN10sRx/D+A84CCgQwEvXQM8Cfwm8Ox/maibyE84onQMcBaq8yrEZ8D9wJTAsz/RXTddLMfvDpwCTAaGFfjyD4A7gbsDz87prps2bro/6jM8Gdi8wFfPAm4DHkj0U76b3grV3xzHt2+w+XgNdd94EjeX2PsGbnoc6r5xBGrEPl/1wHPAzbi5l3RXK7FJRfjldlEXf6cSw2WBcwPPfqXUeumUqcpsgrp4j9UQ7nXgxGxldoGGWNpYjj8YuBc1wlSqPwBnBJ79mYZYogCW4++L+hy3LDFUDXAt8MukjVxYjn8ccDPQu8RQOeCiwLPvLb1WGqmRiQuBq1DD/6X4GJiEm/NLrpdObroL8EvgbNRUXCnmACfi5pL1MOOm+wJTUQ+hpXoVOFnn6Ewik4qwA7sPGKw59P3AOYFnr9Act2CZqszBwF3AZhrDVgM/A27OVmZjz7Atxz8NuAHooTHsl8DZgWf/TmNM0QLL8XsAvwYmaQ79FnBC4NlZzXELZjn+Zqjv4sGaQz8PnBp49n81xy2cmx4BTEdNG+tUBZyHm1umOW7h3PSuqD6+0BGm1tQD1wNu1GsTmuWmDwPuoLBR+7asAhxgqo41NIlLKizH/zHwKIUNkRfiNeCHcSYWmarMr1Afoil/Ao7IVmarDZbRIsvxOwAPAEcZLOZO4MwkT2u1d+Eo0wxguKEiaoBjA8/+vaH4bbIcfwJqKLifoSK+Ag4KPPt1Q/Hb5qYPRvWphQyRFyIA9sPNLTQUv21u+kzUqK+pHY3/Ag7EzX1pKH7r3HQKuBE13WHKU8BPS53WStSW0ggSClALr/4UTq9ELlOVmYLZhALgh8BzmaqMqU6kRWFC8QRmEwqA04Eqy/ETdQ1vKCzHH4JafGgqoQC1Ov13luPrmP4rmOX4OwIvYy6hALXQeobl+HsaLKNlbvpw1Jokk32BBbyGmzZ5rbTMTV+Mmg4w2Rd8D3g1nHqIw52YTSgAfgQ8i5suablBYjrkiBKKJrEkFpmqjIua64vCnsATmapM1J9xFfqHkVtyLHBLRGVtNMIdOjP49k4AU8qB+y3HPyiCsr5hOf5I1AhFzwiK6wo8Yzn+dhGUtZab3gd4mGiODhgAvIibLnThZ2nc9Mmo6YkojAaex00Xspi+dG7aA06LqLR9gUfCkZGiJCKpsBx/W6JLKJrsjpp/i0SmKrMHcGVU5YUOBC6IqjDL8U8Cjo6qvNBZluMfEnGZG7o7gaERllcBTLccf9MoCrMcvwL4Ld/erm1aD+C3luOXuug8P266N/AgajQoKoNQa+Gi4aa3AW6NrDxlAuBFVpqb3g+4NLLylEOBM4t9cexJRTh8fQ/RJhRNjrAc/0emC8lUZboC01i7xz1K12SqMiNMF2I5/kDgJtPltOAuy/FLXbEvAMvxj0Jt345aH9QCtChcjtrLH7VRqJ0XUZiC3kXg+TogHD0wSx3SdT9mp3VachZu2vx0ljp/Iq4dRF64LbdgsScVqL3SO8RY/pQInh6uJdonv3V1JpoRmbuAdATlNGcAaiugKIHl+E1b1eLyY8vxdWyTa5Hl+GNQO6TicpHl+NsbLcFNHwRMNFpG626KYBrkXNShXXFIAdPCg7VMug79OyDz1Y0iR51iTSrCY32jnhJY32DUoj8jMlWZAcAZpuLnaadMVeZAU8HDBW8/NBU/TxMtx9e5lWxjdA5qxCBOPw9PzzXlZ8QzKtqkHPN9XlSjIS3piclpV3Uzv8xY/PxsBVQai+6mB6EOYYvT93HTexX6orhHKo4BBsZcB4BLDHZkp1P64V06nNtOY+erjOgWwW5wwtMy405+AUaijlXWznL8LVCnD8btIMvxzYxcuundUMdRx+1Ugwsaj8Hsjp18mez3ziQZv81VcBvjTiqMPT0XaHMgoztopiqTAk7QHbdI+2WqMtoTOMvxewE/1h23SBPDm6Mo3MFAXNvl1neSobjHU/opizqY7BdMvXeF6gkcbih2Uto4Eje9k/ao6uTT47XHLY4dHuuet9iSinCB5t5xld+MfQ3EHEPpxxrrUoaZJG4fSj/yV5fexDfP2t7ZcVdgHQcaGjlMUhtN1WXDbqOb7gXsoj1u8Uy83+OJZ5FtcyqA/Qt5QZwjFeMp/Yx9nXT8NsX6Cv3RJdNM1GdjaOPGIEnvWw80H7oVPsREe05E68ZoXyDupgei9/jmUpm4psYTzy66lkifup44kwoTIwOl2MPA0Hm7vjhijFmKpNUn8cIF06Pirsd6dH+OI1Ar2pOiA/qnXJN27Q/FTeveEZa0Nkqfup44k4ptYiy7OV3Rv2h0rOZ4pcqE6zx02lZzvFIl6Wm0vRhNMhaFrUv3dydp1ynov1aT1t+k0F+npLWxP256gOaYSbtWC7pO40wqkvTU0ER3naI8sS8fndB/WEzS2tgr7gq0Q0n7DEH/5yhtjIe0sXBJa2P3cPFoXuJ8OtEyn1jefd6sTn1e+VpHrIaafuWa193EuR++JR1RP3WrS9LamLT6tAdJfM90T0UmsY266yRtjMfGcq3W5/OHcSYVGn6Wu762yxYP9UyV1WsZEivvurhWR5x1lPQTsoas1hxvDfEclduSJL7nSZfE98zEdZo0uuskbYyHXKvriHP6Y0WpAToNeOr1VFn9EB2VCZVcp/Us1RyvVMuzlVndX4CktTFp9WkPkvie6a6TtDEeG0Mbv9AcL2lt/BI315jvH8eZVLxdyotT5cuXduj1ps6FTl8CH2mMB/CW5nilKuk9b0HS2pi0+rQH89D/tFUq3Z9jEq+LDb2N9cB/NMdMWhsD3Nz/NMdMWhsLqk+cScWLpby4y6Dp81MprT9g9XK2MtugMR7ATM3xSmXiYk3aFyBp73niBZ5dB8yKux7r0XpdBZ4dALo7/1KsAuZrjpm0a38ubk7DNPe3JK2N0qeuJ7akIvDsdylyZKCsy6L5ZZ0/3lVzlWZojgfwbwMxS2GiPhtDGzcGSXrflgaevdhA3CTdkN4OPDuvhW95c3NfAoHWmKUxcU29A9QZiFss6VPXE/dvfxQ1WtF10PQ1qZT2umtPKrKV2fdJzhPgasA3EPdl4CsDcYuxiOR9IduLJ+KuwDpM1UXaGC39dVEjH89pj1s8E22cg/5RrGKtBP5cyAviTiqeLvQFHTb5+z9S5dW6D0CZk63MBppjNrnXUNxCPZmtzC7THTTw7DXAQ7rjFun+wLPzXlAkvuUvwPtxVyJ0n6G4j6A6ybiZ/M6Yeu8K9THwvKHYSelT/4abW2AodlI+x0dxcwVtYIg7qXiKQhbypGqrO23qDzJQj6sNxGwynWQ8yd9kMPYtgO71KIVaDdwecx3arTAZuznuegCvBZ5tZLQp8OwcMM1E7AI9FHi2mRX+bm4eBT5ZGnIrbk7v9M5azwLvGYpdCJN96j3AcoPx81VwG2NNKsKO7Ip8/77zZr9/M5Vq0H2U9tvA7zXH/Ea2MrsC+IWp+Hn6fbYya2w+OfDs91FfgjjdaKyj3njcB5h68spHA3CZ4TJ+BWgfsStAFP3BFcS77mAxJhN8NxfFddKWf6Aeis1wcznAMxY/Pw+GUzEFiXukgsCznwX+0NbfpSq++qSi53++p7n4emBStjJresj8ZuDvhstoyVLgzAjKuRi1piEOWcyONm0UAs+uBk4kvlGnWwLPNvo9CTz7E+Bck2W04eJwJ4o5bm4mcJ3RMlp3Mm7O7FO2m3sCeMxoGS2rBk4IkxuTriO+NWJFf09iTypCZ6HOiWhRl8H3f5BK0VVzuTdlK7P/0hzzO8Ktqiei5RTRgk3OVmaNP8EHnr0cOBmIek1DHXBC4Nk1EZe7QQo8+3XimQZZQAGjlqUIPPsB1BB61F4C7oqorKtRyXbU7sLNlXRcQAHOBD6PqKx1/czgWoq11PTRCcRzwuZpuLmipu0TkVQEnr0E9VPozSYW5d0WZMs7fa57C+n9gKM5Zouyldn3UDfdKJ8Cb8lWZh+PqrDAs18Cfh5VeaFzA89O2r7u9u4K4NUIy1sGHBmOlETlJKKd6vkQOD6yhcRurgY4Ev2nPbbmDeDCyEpzc18ARxHtTfdxoky61fTD6UT7sHYdbq7opDsRSQVA4Nnv0Gxi0djYZYuH8v6FtDzdD5xi4LCrVmUrs78DziCaC+Re4PwIyvmWwLOvAa6PqDgn8GxZnKlZ4NmrgYOBf0ZQ3NeAHXh2pFuvw/U3+xLNjpePgP3Ch6fouLn5wAFEc+jX28CBuLlod9e4uVeAnxBNYuEDEyOY9vg2NzcdOIdo7hu34eZKethOTFIBzScWHfu+9PdUec0ojcXEklA0yVZm7waOxexUyPXZyuypEawVaVbg2ZcCl2NuVKYWmBx4dpzzxhu0cDprX8yeCfAJsFc45RK5wLM/AnbHzPH1TeYAu4WLmaOn1lfsiVo8acorwF7FDpeXzM09AxyE2QW4DwI/DkeAoufmpqJG10wlT43ANbi5s0oNlKikAr5JLHYEXqZs9fKOfV8arin0CtTCk9gSiibZyuzDwHaoFcQ6LQb2y1ZmL9Uct2CBZ/8K2A14V3Pod4DvBZ59h+a4Yj2BZ68EbGAy+n9s70FgdNxTV+HCzR2Ba9C7Y6IeNWI3wdDpoPlzc7OBDPrPd6hGjYbuG+5WiI9axzEa/Qf8qSkWN3c8bk73r1gXRo1YjAd0rwP8AJUUXqkjWKqxMblnBW1z88lHdNzkzRuALUsI04g69MbJVmbj/XKvJ1OVKUN9Kf8PSvodk1pUh3FptjKbhL3N37AcvzNq0djZQOcSQq0Efg38MvDseL/cGyHL8S3gDtRweikC1DqYgg++M81y/HGohZSl7jKbBUwKPPuN0mulmZveH5gKbF1ipJeAM3BzSTgv4tvcdCVq58SmJURpQO0uORc3F8di0Ja56XLUbrvLgR4lRKpBXe+X6Zy2SnRSAZCpynREDfscAexK/jemAHX09q3Zymwcq6DzlqnK9EC18WTUE0W+lgBVwO3Zyux/TdRNF8vx+6PWk5wAWAW8dAHqwKK7A89OwiFiGzXL8bdD7dY6kvw7tEbUEPndwOPaf/NCM8vx90KNzhwCdMzzZbWop+Q7As9+wVTdtHDTZcChwCTUFFe+I9YrUcdS34abe9NQ7fRw052AicCpwE4FvPJL4GFgaiQ7PErhptOoe8bJQCFLBD4ivG/g5j7RXa3EJxXrylRluqCG1PdDXSg9gW6oL/RK1DkJLwIvZiuzC+OqZykyVZnhwPbABNRQV3+gE6qNOdTw/8zw36xsZTbRHfT6LMdPoRKnCeG/ccAmqM67BjXc+Daqff8OPHtuTFUVrbAcvwtrr9MJqKHnbqgb1GrUVFzTdfpmOM3QrliO3ws1atHUxuFAl/D/rgYW8u02tr+k1033B3ZAtW97VMLfGfWkvgqYx9o2/ivyhZg6uOkt+fbnuDmqjXWoUyuzrG3jW7GtmyiFmx6B+vzGh//6sfa+sYz17hsmF5u2q6RCCCGEEMmVuIWaQgghhGifJKkQQgghhBaSVAghGbQR9AAAIABJREFUhBBCC0kqhBBCCKGFJBVCCCGE0EKSCiGEEEJoIUmFEEIIIbSQpEIIIYQQWkhSIYQQQggtJKkQQgghhBaSVAghhBBCC0kqhBBCCKGFJBVCCCGE0EKSCiGEEEJoIUmFEEIIIbSQpEIIIYQQWkhSIYQQQggtKuKuQKEsx+8L7APsCKSBrkAdsBJYBLwIzAw8uyG2SpbAcvwUMByYAIwH+gMdUW1cBswCZgKzA8+uiauepbAcvwIYjWrjWKA3qo01wBfA26g2zg88uz6uepbCcvzOwLaoNm4L9ATKUW38BNW+mYFnvx9bJUtkOX4PYBzqOh0FdEc9qKwGFrO2jf+NrZKiTZbjb466TicAWwKdgUZUnzof9Tm+FXj217FVslRueghr27g50AmoB5YDWVQbZ+HmqmOrYyncdBmwDap944B+qDbWAl+xzn0DN1drsiqpxsZGk/G1sBz/e8ARwL6oNyzVxku+Al4GXgAeDjx7hdkals5y/F2BU4Afo5KlttSgEqhpwB+TfvMNk6UfAicDB6I6rrasBJ4G7gs8+yWD1dPCcvyOqOv0ROD75Je0/w/4PXBP4NkzzdVOD8vxuwPHAZXA98hvtPNj4GFUG98zWD2RJ8vxt0L1N8egEom2NAJvAVXAA4Fn5wxWTw83PRY4FTgSdZNtSz3wGjAdeAQ3t8Zc5TRx03ui+tRDgR55vGIN6r44DXgaN6f94TvRScVWV902uqHaug6wSwjzBeABUwPPTtxFYjn+Xqj67VBCmAD4ReDZ92mplGaW4/8UuBo1AlOs/wCXB57t66mVPpbjlwFnAZeinoKK9RpwUeDZb2qpmEbhyMsVqHb2KjJMAypJvDjw7IW66ibyZzm+BVwPHE7x09/LgTuAqwPPXqmpavq46XHAr1Ej2sX6DLgB+A1uLnkPbG56P9R9Y3wJUd4HrsbNPaCnUkoik4pMVaYrcFVjY9lPV7zr9qGxY1cNYecDpwae/TcNsUpmOX431Jf7DNoeecnXC8ApgWd/pCleSSzH3xTV+fxYY9gHgHMDz16mMWbRLMcfDtwP7KIpZD2qM/t5UpJgy/F3Qj29baMp5CrgcmBK4NnJ64A2QOFI4STUzba7prAfACcGnv1XTfFK46Y7AD9DXVu6pvb/BZyAm5urKV5p3HQP4EbUCIwufwJOxc0t0REscUlFpirTD3gJyADUfj3m1dUfH7unpvCNqBvSrZriFcVy/PHA48AQA+G/Bk4LPPtRA7HzZjn+D1EJQB8D4ZcARwWe/ZqB2HmzHP804Gagi4Hwc4HDA8+ebyB2XsIb0dWoTtrEou6/Aj8JPPtzA7FFyHL83sCjqOlj3RqBm4BLYl3H5qa3Ap5ErdHSbQ1wCW5uioHY+XPTOwKPAYMNRF8GnISb+0OpgRKVVIQJxcvAmKb/1thI9cr3L/lfY23vLTQWdXbg2VM1xsub5fi7A8+iFu6Z0gicGXj2HQbLaJHl+EejEgqTC4FXA0fENR1iOf4VwC8MF7MU2D/w7LcNl/Md4ZTOvaj1ISYtAPZNyujahsZy/AHADNbpUw15BDgu8Ow6w+V8l5sejWrjZoZL+iVu7grDZTTPTe+NmjrsZrCUBuA03FxJ0+iJ2VLaXEIBkErRpeugaYs1F3er5fhnaY7ZpnDB6Z8wm1CAmk65zXJ80zeE77Ac/8fAg5jfWdQZeMJy/L0Nl/MdluNfhPmEAtTishcsxx8ZQVnruwPzCQWodTYzLMfvH0FZG5VwhCKKhALgKGBaOLoVHTc9FLVg3XRCAXA5bvrKCMr5Nje9K/AMZhMKUPnAPbjpY0oNErtMVaYbasqj2Yu/rNMXO5d3mz9Lc7G3RnnTDb/gT6NvPrMtKeCeMJGJhOX426BW+ZdHVGQn4EnL8XWOYrXKcvwfoOalo9IXeMZyfB3rivJiOf5k4LSoykOt1Xg08hvShu9BokkomhwHXBRZaW66E/AUMCCyMuEq3PSPIivNTfcH/og6OiEKKWB6uHOmKIlIKoBrCNdQtKTLwIc7QoPuObspluMP0hyzJbcS7cUP6uY+3XL8TqYLshy/HLXdLJ+tojqlgXuiKMhy/J6oKYGoDUWt9DbOcvwhqAXEUfs+cGYM5W6QLMc/CbWFO2pXRziy5qLOu4naXbhpE2vFmnMH6sEiSh1QiUWHYl4ce1KRqcqMA85p6+9SZTUjO/Z78XXNxXcHjK+tsBz/UNR+8DiMAq6KoJwLUQeSxeHAsBM17UYgqiR0fWdZjq9rwXKzwpGC+zE/zNoSLzw/QZTAcvyBqMWTceiMepAxO1rppncALjZaRss2RT0kmuWmjwIOM15O87ZDbSEvWOxJBfAr8hwu79jnlW0oW637VLdDwoOnjAi/XL8xFT9PF4X7042wHL8P8HNT8fN0vckpAsvxx6IOC4pLCrjFcBmHA0YTlzZ0A66LsfwNxS/I7wA9U3YAjjVcxm+Ibpq1OUfjpnVtI/8uN90R9RATp8tw0wWfuxNrUpGpyuwK7J/v36dSjf26bPFbEyvhrzEQs8nhgGUwfj7KgXMNxj+D6Ob8WtIHdcqjKRcYjJ2vsZbjm9gW2ORCg7Hz9eNwCkYUwXL8zYCj464HJq8lN70T+s6FKYXJ78tRlHaQng4dgbMLfVHcIxU/KfQF5d3e26Ws42eB5np833L8fI5xLcYkQ3ELdbyJtRXhkLnOg1hKYWRxoeX4vVBH/SaBkffacvxtgZ1MxC5QOerYYVGcE1A3g7hlwkPTTEhKn3oIbnpTQ7GT0sYTcdMF7eSLO6nYr9AXpFJ06DJ42lLN9UhR2pGuzQpPlNxLd9wi9QZ+YCDuLpg5jKUY21mOP8JA3EOJfgFqS35kaJrnKAMxi5WkurQ3SXrv9I+YqBvcEdrjFsdMXdz0YJIxEgNq/UhB2/ZjSyoyVZnNUYsIC1bWIfe9ip7v/FtzlUwMK++AviO4dTCxkDKuxZktMVGfJDzBN+nE/7N33mF21FYfftfdBjz0Xi4QOgKDAx8BQocAQwlJIJSQMb2HHi6kIEiAIZTQQi8eCIRegi8QSiAQOjYBUQ0kQ28GPLh77d3vD93Fbb17izSjtfU+zz5Pgu/9nXPuzEhH0pHGzqmBLsW4arVOx1MH1Ze95bmFtDtsPIvrkN+2/FqwEWMz74GyQV0xFjlT0VQnPmCZOxeB6SZPb6t71qQGhlrQbAYb/vgY88eoP9UlrGZeTGQD137znsAQip99npn1S+WK6UPwXLsvfHszG0XegE2NjFp6TVu1/1IjTG4xXbFUrpgujJkfGup5OsZSudKXbs5QKQDT13EVit0t0BmuNaw9AdeexQE0OBvdBa7FuCYyML0F27UYe0xS0ejrk7+j7yLPrtfSe8LXJpypYrphdaXWoIMlLBRruhaj6XMklkQvObiE6Rhdu4ZQ3HkgPZn54Tq6FmMvzO/ScC3G5ZFBzcv4tt/P0BVNF5u1tLDwwBWv+feUz3db1IRD7e29TRfjudYZgX6jpslXartSwNjB/HAN54cYbbz5dV7Hxevo79X6ca1NBf27T67lg0UmFUbqIXoP+GzzQStdbUIKoA2ONKVV1XMO028RnI5b67jTDeu5eA3nhxjzf9tlz8fF6+jv1fox/ZuZoGafiuwMJhRoe26Y9mm8Yb1maQMmGdZ0LUbT/rgWH/gYPZ3j4m/m79Xi9ZplKjJrrfXDRSYVHxZouzOmAZ8Z1nzdsF6zvJXGoeks2LUYjfqTxuEY4AuTmgYw/Zu/YVjPBK7dVz0BF38z0z65FuO3mO/LXIuxLn+KTCoeK9B2ZzyvImU6QxxpWK9ZbPjjY8wfo/6kcTgWeM+kpgFc+817Aq79Zp+mcfipYU3XYnwZmbUb1nQtxrr8KTKpeAaYWKD92XnUgqZrN8eoHqLZDD6pcEezUaYCrxXtRA9kNDCuaCdmYl6/T8G3qXNQWFKhIjUFeKoo+53wiAXNUYDJLa/NYmN26J+4Uzw1GXjagq6NhLNR3sfOrIJLMT6VxmHNa7geTRqH7ejn0RXMtzcy+wR407hu49hoU1/AreSwrhiLrtq30ZE3wjjgedOiaRxOBf5mWrdBRqVxqEyLpnH4Ee4sZd2bxmFmQfdJ4H8WdBvhxmrnYZrbMV/E2yjDi3agBzO8aAeqtAI3W9Iebkm3Xj4DHjKuKrOJ6OfRBZ5BZu/U84Wik4oENzKyK1WkbG1h+wtgoxOol0stal9mUbserMRY7cT/YkO7TlqBK20IV5Oxm2xo18lnwB1FO9GDuR89m1U0t6VxaPrFjx1chxsJ8BXIzNb2zx7bphaaVKhIjQH+XKQP6Ord2JZ4GodvAvfY0q/VDeAWi/r3A69a1K+Ff6VxaPLY9tm5GrDVSNZKksbhJxb1z0fXMxTJhWkcmjycbb6iurvrTwW7YdcHmX0FXGVNvzbGApdbU5fZf4AHrOnXxjs0kOAXPVMBcB7wQYH2T1eRsl33cAz6JiyCduDg6lKMFaoj+YMo7sCiScAhNg2kcTgOOMqmjW74BPi1TQNpHL4DnGnTRjeMpPhBxrzAldipLaqVP9lYap2N36EHS0VxPDIbY9nGkRQ3k98GHNjITEzhSUV1G+cRBZl/EbjEtpHq6PJY23bmwpVpHFqveUjj8CXgXNt25sJp1Q7RKmkc3kFxU/OHpnH4TQ52YuClHOzMzlRgWBqH/iTNJknjsA04gGKWCF4DpHUrMhsPHEgxS8sjkNlw61Zk9j5wknU7nXMxMvt3I18sPKkAUJF6gDxuxFn5APi5ilQuOxfSOLwRuDMPWzPxFpZHt7NxJjpRy5NHySExnIkjyf/gtqvSOKzkYag6fR6hlwXz5NQ0Dv02UkNUk+wTcjY7EYhszorOgsweJ/+Zrc+Aw3KzJrOr0cvLeaKA3zT6ZSeSCgAVqTOAM3Iy9wGwlYpU3hX9vyC/LV/vA9uncZjbka/VxmRn8juh8UVgj+rILBeqJ2xuR36nbN5NzssuaRy+AexGfiPd89M4vDAnW/MNaRxeSX7LWVOBn6RxmPcZCydhb5fJ7HwN7FDd1ponPye/4xfeQ8fY8LPvTFIBoCIlsZ9YFJVQUC1A2wV40LKp0cAW1e2euVLtdLcG/mPZ1FPknDR1kMbhaGALwPbveyuwt4Wj1bsljcN/ATtif8binDQOT7ZsY74ljcPT0fUHNpkI7JrG4T8s25kTfZplBNxg2dJnwFbIzHatyJzoDn4n7J8l8wawBTJr6nUVTiUV8F1icRJmX8/dwSgKSig6SONwEnoUeAZ6i6Bp/gb8II3Dwopf0zj8At3pGnt97Ey0ARcAO1g6k6Im0jh8G9gYO1OTk4GTgf2KPAQqjcMngf/Dwhku6FHffmkcnmZB2zMTaRz+EfgZdnYvvYxubx62oF0bupjwIHRBvI0XVT4MbFxIQtGBzCYAIXA2dt5imgCbmZiFaWlvd+EIhTkRiVgTXcW8pQG58ehO/M8qUs68VrZUrgxBX8z1DMh9DhyRxmHR21dnoVSubA9cC6xoQG40cIDlraN1UypXfglcDCxsQO5ZdIxvG9AyQqlc6Y1O9M8A+huQvA84PI1D0y/w83RBqVxZHH3eyl4G5FqBPwJnO1VcK4NV0LMWWxhQ+xY4CZldY0DLHDLYCH0A2NoG1D4BDkNmIwxoAQ4nFR2IROyEXhf8fgNfn4jez3yOilTRZwx0Sqlc6Qvshy6qEg1IfIo+KOXy6ouhnKNUriyI3vJ5LLBSAxKjgYuAG9I4nGzSN1OUypUl0COlI4DFG5B4EbgQuD3PGpF6KJUrK6Pv02HAgnV+vR09fXt+oaNaD6VyZWt0krgj9c9WT0QfknZBHjuuGkIGLcBP0Pfqpg0ofIPuNy5udinAGjLoB/wSOJ7GkouP0AdbXYnMjC5xOp9UdCASsRK6QG57YBtgiU4+1oZe4ngE3YA9XX3HSI+gVK5sDPwUnUBtSOcj38nAK+g9/Q8ADxWx5t4IpXKlF/ra7QoMBYYAC3Ty0W/R06ojgXvSOGxoa1MRlMqVfui6mR+hYxRAv04++hU6vhfRiUTRh4fVTDVJ/Cm6dmYosBbQu5OPfox+Hp8Dbk3j8L+5OenpllK5siKwD7AJ+jqu0MnH2tC7yEYBTwB3pHGY986gxpHBOuiZmY3RMXbWb7Sit8KORPcd9yGzHtNvIIMfoJOooeh+I+jkU5PQdW6jgBHAI7ZOA+0xScXMiES0AKuif7wF0DfFeOAjFak89vLnQnVkuCQwAF1dnQGjnZpubIJqkrEasCi6450CjAHes/R+i9ypzkStAQwG+qKTwk+LrHkxTalcGQSsjn4We6MbsA/SOPy8UMc8dVGdbSsBA9HJxAR0e2OjTqEYZLA8sCw6xlb04VJvI7OiT5I1g56lWQWdPPVH9xtjgdEWjxSfhR6ZVHg8Ho/H43EP53Z/eDwej8fj6Zn4pMLj8Xg8Ho8RfFLh8Xg8Ho/HCD6p8Hg8Ho/HYwSfVHg8Ho/H4zGCTyo8Ho/H4/EYwScVHo/H4/F4jOCTCo/H4/F4PEbwSYXH4/F4PB4j+KTC4/F4PB6PEXxS4fF4PB6Pxwg+qfB4PB6Px2MEn1R4PB6Px+Mxgk8qPB6Px+PxGMEnFR6Px+PxeIzgkwqPx+PxeDxG6FO0A40iErEKsDzQH5gOjAPeVJEaX6hjhhCJ6AWsASwJ9AOmAWOBN1SkphTpmylK5cpCwGrAAsAAYDIwHng7jcOJRfpmilK5MhBYBxgM9AamAp8C76Rx2F6kb6YolSuDgbWABdEDlcnAB2kcvl+oYyaRwRLoe3VQ9b9MAt5FZp8X55SnLmTQAqwKLMus/cYbyGxCka4ZQwa90f3GEugYW4Fv0DFOzcOFlvb2ntGuiUSsB+wNbAxsCCzSycfagNHASOAR4E4VqR5zs4hE/BD4CbARMATd2c5OK/A6OsYHgPtVpFpzc7IJSuVKH+D/gO2A7av/u7PEdgrwLPoaPgq8lMZhW15+NkOpXBkA/BjYERiK7mx7d/LRb4GXgReB29M4fDE3J5ukVK4EwF7AtugYVwVaOvnoGGAU8BxwSxqHb+fmZLPIYGlgX+CH6BhXmMsnP0Y/i/8GbkFmH+fjoKcmZLAB8HNm9BtBJ59qA95CX8eHgbuRWc8Y1OhEaUtgD3S/sT4zEt+ZaQVeQ8c4Aqggs2k2XHI6qRCJaAF+BpyI7oDqZTxwA3CBipSToyaRiP7AMOB4dIZZL18CVwCXqkiNMeiaMUrlyiDgV8BJwGINSHwGnANclcahk7M0pXJlGeA44FBg4QYkXgH+DNycxqGVh71ZSuXK6uhr+AtgYAMSTwLnp3F4v1HHTCKDjYCT0cl9Z8lgV7QB9wN/QmbPmHbNUyMy6IVOJE5EJ4T18i1wHXAhMvvIpGvGkMEA4CB0m/O9BhQ+B/4CXIbMvjHpmrNJhUjEquiE4IcG5CYBvwEuVpFyZsQrErExOsa1Dch9BRytInWrAS1jlMqVnwMXAUsbkHsfOCqNw4oBLWOUypVDgPPRSxzNMhIYlsbhawa0jFCdYToN+C3Q14Dkg8ChaRy602DLYEHgPOAwOp91qZcbgOORWWZAy1MrMlgD/dv/wIDaBKAM/AWZudNRymBTdIyrG1D7AjgCmd1tQAtwMKmozk4cgx6ZdjaN0wxPA8NUpN41rFsXIhH9gDPRo756R0PdcTdwuIrUl4Z166JaL3EzsKsF+ZuBg4qetSiVK8ujRzQ7GJaeir4/4jQOpxvWrotSuSKABNjAsHQGHJ/G4Q2GdetHBlsD1wMlw8ofAYcgs4cM63pmRy8DnAj8AV2fZZIngAOR2f8M69aHnp04Cz07YXqTxW3AUcjsq2aFnEoqRCJ6A9cAB1g08zWws4rU8xZtzBWRiAWA+9Dr0bb4L7CdilQhD0E1oXgQ2MyimQeBPYpKLErlyrro9ddlLJq5G9gnjcNcCqxmp1SubAfcS+e1Paa4II3Dkyzqd40MDkC3OaaT+w7agaOR2eWW9D0y6AMMB/azaOVL4EfI7GWLNuaODBZCL61tadHKaGB7ZPZBMyLOJBXVGYob0eu1thkPbKsi9UIOtr5DJGIg8BCwRQ7mPgI2z7uWJKeEooNCEotSubI2uj6gkfqQehmBjjHXOotSubItUEFXkNvm0jQOf5WDnVmRwUHohMLEckd3/AqZXZqDnfkLXT9xK7BnDtYyYOvcEwsZLIAuWN8kB2vvA5s1U3Ds0jkVfyKfhAL01rcHRSJWzsleB7eQT0IBervtIyIRJtb5a6JUrixIfgkFwE7APaVyJY+OD4BSubIUeldKHgkFwC7AVTnZAr5b8riXfBIKgGNK5copOdnSyGBn4GrySSgALkYGP83J1vzEReSTUIDeOfIPZLB8TvY6lnXuJJ+EAmAl4GFk0HDpgRNJhUjEluj1sDxZFLi+OkNiHZGIA9FbDfNkNXQBYV5cSH4JRQc7ATJHe1eg97nnyYGlcmX3PAxVizITdOKdJ38olSvr52JJBouia2HybP9agKuQwVI52py3kcH26Pq7PFkCPbuVF0egt6fnydpA3OiXC08qqjUG15PfiGFmtgKOsm1EJGIFdIdbBIeIRJguJJyDUrmyBXCwbTtz4aQ8OqRSubIPej94EVxVKlfymB35DeaLMmuhLzC8VK6Y2F3SHZdiZjdSvSwGXFmA3XkPGQwGri3I+o7IwH5bJ4OV0TP4RXA0MmiofqPwpAI9ylylQPuxSITtkedldH7oSl5cWz0PwwqlcqUFPQ1ZRGII+gCtC2waqB74VOSa+FLoLY/WKJUra6CTiqIYgu0ZSxnsiD7Uqih+jAx+UqD9eYWzgBULtH9B9ZRVm1yJ3SLprmgBrqsWwdZFoUmFSMQiwOFF+oC+aMfaEheJWAfYzZZ+jayA3XqVn1HM6HZmti2VK1tb1D+M/Ooo5sb+1W2stjgZM+dQNMPx1VNJbXGaRe1accGHnovuzIuaFe1gMHC0NXUZDMX8VvV6WRV9iFhdFD1TMYz812474xCLI3l7N1592PTD+hJSjVjxozoTc6QN7Trpg6UkvFSuLIzdLXm1siT6CHDzyGA9zBym1yxDkUFehXfzIgdj/iyKRji8kZF8jfTYfsOFpMIFFsHCIU3VRGVv07oNMkQkwnjdQalcWQAzp9eZYJtSuWLjnt4aXRXtAr+sJjmm2Rs3Gmqw1y7Y0m2EYUU70IMZVrQDVZZEF4qbRW8hzWtHS3dsUj2ltGYKSypEIhYD1ivKfidsY0FzQxp7D4QtbMS4Jfotqi6wCPB9C7o2frdGWYHGzvrvDpdi3KxUrti4p1yK0SVfeg4yWA4zx1ObwsZ13Jjiaik6o64Yi5ypaORFLzax4c/8EON2FjSbYXsLmvPDdXQpxn6AMKoog/7oV9C7wveqOxg89eHSfQrz/rMIdfrjk4oZrCcSYXp9zLUYN7SgafO48Uaw4Y9r19GoP6VyZRGK3YHVGabv1fXQNSmu0IKd53Fex7VncUj1gCqTuHZf9JikwsSbOU0yAF3tahLXYlyj+n4Vk+R3ulxtLGdSrFSuLI4+8MYlTI+41zKsZwLTMbr2LIJbMyc9Bdeu40KY39rqWox13adFJhUu7PqYHdPrWK7F2AsYaFjTpbU/mPevIfgYG2F+iHF+YH64jq7F2BcZ1LzVvMjpwKJ3nnSGaZ9cjNH0TIWRe2jQyn9+ule/r5dsWqi919cQGvDoO1y8hv4+LV7PBC7+7q7j4m/m79WZKDKpmFyg7blh2icXY5xkWG8C+iCYhukTvPRi7wGfm3pnyH8N6XTg4jX092nxeiZw8Xd3HRd/s3n9Xm1HZjW/CbrIrK+pd7ZboB340LCmazF+riI11bDmN819fdrUAUvfY7JmITOoBfAF7jVkpu8r1+5TMP8smtYzgYu/u+u49ptNBz4xrOnavVqXP0UmFSMLtN0Z76lIme6QXItxlAXNZ5v5cv+l//5sS6/pJUO+ADxtUIs0DqcBr5rUNIDR+yqNw//SdHJoHNPPjmvPIrjpk+u49pu9hcwmGtZ0Lca6/PFJxQxs+DM/xPhIo19s6T3uy74Lv2D6nSGPGtaD+eM62kg4m8FsjDL7ErdGgF8hs/eLdqIHMj88iz06xiKTineBrwq0PzvPW9B8EWizoNsoNmJsuBMfuMLwt1tamqvHmI1pwOMG9Tp4zoJmo0zGzsyJSzG+m8bh1xZ0XYrRxrM4P/AGMK5oJ2bCxnV07d6oy5/CkgoVqXbg1qLsz0YbcLtpURWpL4DHTOs2yFfAw6ZF0zj8ABhd7/d6D0zf7DXg400Nu/OCitS3hjUB7sWd4ql70zi04cvfLGg2yi2WdOeHGOdtZDYdC211g7QCdxhXldlHwFPGdRvjU+ocqBW9Pefqgu13UFGR+tiStisxDrdQpNnBbfV+YeAKSWtLi/H7z0pjk8bhtzQQoyWs3E9pHL4OPGNDu06mA9db0h6B+aK6RvgKuLtoJ3owrrSp91aX1WzgSozXVxO5mik0qVCRepUm1uQNcr5F7Xswv82xXqYBF1vUvxAYW+uH+y7y72dbek8y/TK5j4GrDGvOzAXoHUJFMiqNQxvLOx3YfA5q5Y40Du3UGsisFbjEinZ9/AWZuTLz1fOQ2Qu4MZK/wKL2bRRfAzQFuKzeLxU9UwFwAmBrBF0Lt6tIPWlLXEVqOvArW/o1EqtIWbtB0zgcC5xd04dbWif1X+oB08faAvxeRcra1s80Dl8DrrSlXwNtwDE2DaRxeA92Cl1rZRxQtmzjEhpYrjNICpxXoP15hePQg6WiuBGZ2at90Anw8db0a+MPyOyzer9UeFKhIvUacGZB5r8AjrJtREWqAiS27czNPPCHHOz8GXiluw8NWPaOF1pa2oy+nwP4F3CDYc3O+DW6UyiCi9I4zGN54iCKK4Q72dosRQd6huAAiimgbgcOQmbjC7A9byGzUcA5BVn/BDjWuhWZ3UVxy64jgXPWPfMGAAAgAElEQVQb+WLhSUWVc4GXCrB7pIrUmJxsHYeeos+TacAwi7UU31E9z+EAuuiQWvp882mfhV7dyLDpMcAh1cJfq6RxOB7d6ea9DDIa+G0ehqqFtyflYWs2Hk3j0Oby1Qxk9gw6Cc6bK5HZPwuwO6/yB4o5Q+YwZFbzcm+THAV8npOtDqYCw5BZQzNBTiQVKlLTgD2APPdtn6EidVdexlSkxgK7Yv7Ex7nRjk4ocjt/II3Dl4GdmEtiMXDF6//X0sIggybHANuqSL1jULNL0jj8JzpBzIsvgF0s7fjolDQOrwYuzcseepvg3jnaA73MMiJHe49R/HT2vIVeItiNfAdrpyKz/O4bmX2FjjGv2a024BfI7LVGBZxIKgBUpD4CtiWf6eVzVKRkDnZmQUWqo9O1neW2oUfvN1u2MwdpHD5NJ4lF7wXefrV3/y9NbiHtSChyH6mkcXgJcHIOpj4HtkvjMLekaSaOxW7hawdvoGPM98waPQrbE3gwB2v/BHav5/0JnhrRB4htC3yUg7XTkVmcg51Z0YWpO2N/WXIaeoaiqW2yziQVACpS7wGbY++QminAsSpSp1nS7xYVqWeBLQFbHcVYYE8Vqess6XdLNbHYEaieGdHePnD5m2t+dW4NfElBCUUHaRyej17umWDJxKvA5mkcKkv6XZLGYXsah4cDv8deQdxjwBZpHH5qSb9rZDYZ2B24xqKVm4CdkZmt+8Qjs7fR/YatJfRJwBHIrKjaP5DZU8DW2NtJ+BWwBzK7qVmhlvb2onfJzYlIRG/0rpAzgQGGZF9ELwe8YUivKUQiBgJnoUeEppK7EcBhKlIu7MWnVK6sAFzeb/FHFu6/xGObG5L9G3Bc9WCxwimVK6ugz1XY0pDkNPROmj+mcdhqSLMpSuXKUGA4sK4hyfHomZ6r0jh0owGSwU7o5MJUEfFnwOHI7D5Dep7ukEEfdDH16UA/Q6rPAAcgsyJ3DM1ABgsAMbrWosWQ6j3opMlI7YaTSUUHIhFrAn8CdqHxH/Az9Baui6vbO51CJGIz9E3STKf7DnCmitRfzXhllnWv33jnlt6TYkA0IfMCcJqKlCsnlH5HqVxpAQ4FTgOa2S77KHBKGoeuvYeDUrnSDzgFnQQv1qDMdOAudIypIdfMIYMAOAM4BBqu/ZmM3on0W2Rm46hxT3fIYF10v7EjjfcbH1c1LkNmLr1qQSODrdC7XzZpQuUtQCIzoztMnE4qOhCJWANddf9zamu0pwJPokdXd+Sx+6FZRCI2Qsf4U2DxGr4yEXgI3YA9oCLl3o0/EyIRLejkcCdgO2C1Gr72BrqjrahIGT9i3DSlcqUP8GNgGHqdt5ZZtk/RR/1el8aha29DnYNSuTIIXVQZAZsCfWr42nvoGabrnEwmZkcGi6Lj2x9Yn+5nEtvRW7f/Cgy3eMqipx5ksBZwMLrfqGUGagrwBLrfuKtaCOo2MtgE3W/sQW3J/gTgAXS/8RAyM54A9IikYmZEIpYGNgSGAsujG+5p6CnV19D7a1/rCYnE3BCJWAkd34bAkkB/9DnzGfAfdIxvuZ5IdEU1xu2AtYEFgIHotcvx6HqCR11ZxmmEaoKxNvo6rgcMRnfAU9CJxEhgZBqHeW8zNkapXBmAjm1DYB30deyFHq1/wIwY89q2bR4ZLAhsgL6Oq6PvU9D36rvoGF9GZjbeOeMxhQyWQV/DocCyzOg3xqETwpHA6z0ikZgbMliZGf3G4szoN8Yyo9942/bMS49LKjwej8fj8biJU7s/PB6Px+Px9Fx8UuHxeDwej8cIPqnweDwej8djBJ9UeDwej8fjMYJPKjwej8fj8RjBJxUej8fj8XiM4JMKj8fj8Xg8RvBJhcfj8Xg8HiP4pMLj8Xg8Ho8RfFLh8Xg8Ho/HCD6p8Hg8Ho/HYwSfVHg8Ho/H4zGCTyo8Ho/H4/EYwScVHo/H4/F4jOCTCo/H4/F4PEbwSYXH4/F4PB4j+KTC4/F4PB6PEfoU7UA9iESsCmwMDK3+LQ/0B6YD44DXgZHVv+dVpCYW5GrDiESsC2yEjm9DYEmgHzANGAu8wowYX1SRmlaQqw0hEtGCvoZbAGsDawJLo+/FVuBT4E3gDeBxFamXC3K1YUrlSn9mvU/XAwYDvYGp6Bi/u4ZpHL5VkKsNUypXFgL+jxkxrg0siB6oTAY+YEaMz6Vx+EFBrjaODBYHNmFGjKsBg6r/Ogl4l5liRGZfFOFmU8hgOWbE+H1gJWAA0A5MAN5i1hizgjxtHBmsxqzP47LM2m8oZsT4AjKbVJCnjSOD9dD9xobVvyXQMbYC3zBrv/ESMrPWb7S0t7fb0jaCSMRAYH/gUPQNUSvjgDuAS1Wk/mPDN1OIRCwCHAIcBKxex1e/AP4KXKYi9T8bvplCJGJp4HhgP2C5Wr7T3s6k8aPlf2kbcBdwcRqHX9v0sVlK5cqawDHAPsAidXxVAdcB16VxON6Gb6YolSubAEcDPwEG1vHVZ4Crgb+lcTjVhm/GkMGOwFHAjtQ+8JoOPAJcDoxAZu42rDLoA+wFHAb8EGip8ZuTgfuAvyCzpyx5ZwYZDAKGodvVIXV881vgNuASZPaaBc/MIYPF0NfwQGDVOr75GXAT+jq+b9otp5MKkYgDgRiddTVDBThCRerD5r0yh0hEH+AUoIwe5TXKdOBG4AQVqbEmfDOFSMSiwKnAkcwY5dVE29RFnpvw3imbVP/vt8DFwHlpHI4z62VzlMqVJYFL0A11rQ10Z4wFTgcuTePQqQezVK6sBlwFbN2k1MfACWkc3t68V4aRwf+hE5/1mlR6EzgcmT3ZvFOGkcFu6Ht1pSaVngYORWZvNO+UYWRwGHAWsFiTSvcCRyGzT5p3yiAy6Av8BjiZOtvU2ZgGXA+cjMy+NeEaOJpUiEQsB1wD7GRQ9lvgRBWpaw1qNoxIxDpAQn2zL93xCXCoilTFoGbDiETshL5pl27k+1M+3+npqV9vudls//k9YJ80Dl9s1j8TlMqVvYHLaL4Bm5kngQPTOHzPoGZDlMqVXsCx6Ea6npmJ7rgDODKNwzEGNRtDBgOAM4ET0EtUJmgHLgVORWbFL8PKYBF0MvELg6pTAAmch8ymG9RtDBmsiJ7x286g6ljgWGR2o0HNxpHB+uh+Y32Dqh8CByGzR0yIOZdUiERsC9wJLGzJxL3APipSky3pd4tIxDD0qK+fJRMXA8erSBV2cUUifo9ucBoaube3M3X86NMn0TYw6OSfW9Gj3cuacLEpSuVKH+BaILJkYiLwizQO77Gk3y3Vuol7gG0tmfgC2C2Nw+ct6XePDJYHHgTWtWRhNLAjMitueVIGQ9CztctasvA0sCsy+8aSfvfIYCf0ssVClizcDuyPzIpbupPBoegBTF9LFv6EzE5pVsSppEIkYhd0QtHfsqnHgVBFKveCHJGIo9EjhmamyWshAQ5UkWqzbGcORCLORi95NExb6+AXJ7x72kbdfOzkNA7Pb8ZOI5TKlb7okfbulk1NB6I0Dm+2bGcOSuXKwugage9bNjUeCNM4zH+pQAYl4AmaXwrojk+ArZHZaMt25kQv6fwD6Cw5N4kCtkFm+c88yeAnwK3Y62w7eBjYDZlNsWxnTmRwIpBHW3cNcFgzNUHObCkVidiKfBIK0OvCd4tE2L4JZ0EkIiKfhAL0CDr3kbxIxBk0mVAAtI7duJYH97xSuXJss7bqoVSutKCLnGwnFKCn4pNSuZKHre8olSsD0SNb2wkF6FqiEaVyxeQyYPfIYGngUewnFKBnCB5FBivkYGsGMlgXPQtjO6EAEMBDyMDWTEHnyGAH4G/YTygAdgBuRwamlshqQ89Q5DV4OgS4oBkBJ5IKkYjF0JlmHglFBzsCp+VlTCRiLfSSRx4JRQdHiETsk5cxkYjdgd83q9PezrSp3/xgnRo/fkGpXNmiWZt1cBTw8xzt9QZuLJUreXZI5wKb5mhvIeD2UrmyQI42b6C+ivlmWQG4CRnk8/zLoD96yr6eXUjNMhS4KDdrMlgKuAV7y8idsRtwUm7WdA1F3oPD45HBHo1+2YmkAl3QtFQBdn8jElHPdqOGEInoDQwn36Spg0tFIqz/tlUbRopg26cv+CrTF6i1MewN3FQqVwabsN0VpXJlFfRupLwZjKHftjtK5cqW6C2jeZPfbyuDg9CDirzJ87c9E1grJ1szc2C1viEPrsBsgXStnIEM1rZuRe/yGE4+szCzc0V1y2rdFJ5UiET8GL2vvwj6AsOrWzttciL68JUiWAz98NnmDGBxE0Kt2Yb1ntWwInprrm2uB/IcTc/MDqVy5SCbBkrlyiB0jHnOps3MUdWkxh66MPNCqza6JkYGq1i1IION0W1OUVyDDOwm+TLYG2h4NN0k/YHhyMB2/3kq9Z2xYZKl0IP9uik0qaiernh2kT6gt+bsbUtcJGIhclxmmQt7iERYS2pEIkroA1iapr2dttavN29khPWrUrlibdRSKld2Qo80i+TMapGoLQ5BzxgURR7twanomZ+iGAT8zrKNszC3NbYRlsPmjIzuzM+ypl8bG6EPgLOD3gL8a2v6tbFP9aTOuih6pmJHipmim50TLGofSD6FUt1hM8Yypqbo2ga+1j5tcCOHnS0IHGfEh8453qJ2rSyLpQR4pvMoimbTUrnyf1aUdUM9zIp2fexbrQcwjy7ONHlOQ6McXT250wa7U2zy24HNNvVQipsVnZm6Yyw6qTi4YPsdbGCxtsLqlHUd/Lh6uqVRRCL6Y7Cja802aGavu5VltFK5shJuNNRgaEaoE7YBVrakXS+2npl9aO4EQlP0Q796wAautDfLADtb0nal3/gBMrA1KHblOu5Z746ewpIKkYh+QFiU/U4wPpUlEvE99FYrF+iPnd97GwzNxLS30z71qx/W8+6T2Vm1VK7YSA5/THF1BrOzZalcMZ4cUtz6dGfY8sWlGG1Nnc/bMep3euxgXLdxbMS4LvrldS4wiDqLmoucqViXYnZDzA0b++Tz2OdfDzZi3MaYUlv/N9qnLbJMkyo/MuLLrLh0HVvQbyE0jUsxLl6dHTJNvmdhdM0Q4+cd6Leq5nHuRq3Y+L2H4NbbtX2/MRtFJhUuPeBgx5/5IUZjW6tav13vSwMyNrZ6zdPXsXrkeLMv0TKN2d9c77jI88yG7hiI+Xoy1+7TtaozCyZxLUbfb8xGkUmFjdFWMywlEmH6bHzXYhxS3XFjkjVNCU39egsTxVdGG+rqNss1TGoawPR9tTYwwLBms2zguJ4JTF9H19qb3phPVl2LccVGz3PoAtfu1bp+8yKTimZfZ24D0z65FuOCmO88ljMh0t7W9+32qUusaEDKiD8zsRjFFzTPzrx+n4KP0QU9E8wPMRo5n2cmXItx0XrO5ChybSrPo1VrxbRPLsbYHzD5IjUjMba39Z3Uf6n7mn+pVHuvCYbrUV28hvPLfeqyngnmh+s4P8Q4v9yrNb3Zu8ikorVA23PDtE8uxmj61b3TMHBGRa8+E4f0W/RZA+7wqQmRmXDxGvr7tHg9E8wP13F+iNHfqzNR5LRuM+cR2MK0T67FOBmzsxQAnxnWa5bPDeuNNaxngnn9PgUfowt6JvAxFq/XLOOQ2fRaP1xkUvGfAm13xjcqUu8b1nQtxldVpNoNa75lWK9Z3jQplsbht8B/TWoawPR99Tp6xsklTMfo2rMI836M7cArhjVdi/EzZGZ6IONajHX5U2RSMbJA250xyoLm/BCj0U7cADb8ce06GvUnjcPJ6MTCJUzfq6OBel9UZ5OpgDKs6dp9+i4y+9awpmsx2mhTbWg2Q12/edEzFTVPqeSAjZvVtQfAhj/NF1eaxYY/88N1dCnGb4F3jCrKrA23RoCvITOza+cy+xi3liNt3FOj0DMgrjCvP4vQU5IKFalJwGNF2e+EERY0Xwf+Z0G3EaYDD1jQ/Qfm6zQaZQzwtAXd+y1oNsrINA5tdBwuxVhJ49BGx+FSjLZ8sdGONYr5GGWWAU8Z120cG9dxFPCxBd1GaEW38TVT9P776wu238E7KlLGb9Rq/cINpnUb5B8qUp+YFlWRGg/ca1q3QW5VkTJeG5DG4RvA86Z1G8TWM1PBfJFro9iK8Sbc2D3QBiSWtF1pU8cC91jSdiXG15DZi8ZV9ayarfujXu5HZnWddFx0UnEX8GHBPgBcbFH7Smrc32uZiyxqn0PxU5JTgfMt6tv8/WrlGyw1NmkctgKX29Cuk9fSOHzUirLMPgVut6JdH/chMzszmDJ7FnjBinZ9XI3MbM1g3oobCbDNNuFy3EiA646x0KSiOqr8Q5E+ACkWZxNUpL4ELrOlXyP/VpF6xJa4ipQC7rClXyPXWdi9MzN3YL6wrl7+lMbhBIv6lwFfWNSvhdMt658FTLFsoyvyaPNs/4bdMRb4szV1mU1BX8cieQf4qzV1XR9zlTX92ngUmdU9g1/0TAUqUtcAdkYm3dMOHKgiNdGynd+jq8+LYCJwQA52TqvaKoKvgTNtGkjjcDowjOK2Xr4EnGfTQBqHXwNH2rTRDbencXi3VQsyexM4w6qNromR2ctWLcjsIWC4VRtdcywys10wehnF1Va0AcOqyY1NyhRXkzcOOLiRLxaeVFQ5GB1E3lyhIvW4bSPVotQD0Ddj3pymIvWubSMqUu8BJ9i2MxcOU5GyXvWexuEoILZtpxOmAMOqiY1V0ji8C7jNtp1O+AI4KidbfwLMr4V3jyK/mdnjKKbYbwQyu9G6FZm1o9vUIgYyFyGzZ6xbkdkE4ECKWVo+GZk1NPPrRFJRnbY+hHw73VHAr/MypiL1DHrGIk/+DlySlzEVqavIf4R0gYrUnTna+wPwrxztARyXxmGe50gcCbydo71W4JdpHI7JxZo+HfAX6N1CeTEW2Nf4NtK5oXdJ7Ee+Sz3/Q7fj+SCz94AjyLfTfQ74bW7WZPYE8Mfc7GnuQGYNL704kVQAqEjdhh6p5HGDvAH8SEXK5vr0HKhInQVckJO5x4C9LJyg2R0HA7fkZOtyFamTcrIFQBqHU4Fdya8Y7rQ0Dq/MyRbw3TLIDuh6I9tMA/ZP47CubWtNI7PRwI7kcwz7eGAXZPZaDrZmILN/AXuRz7skPga2z2HZY1b0rMjxOVl7BdjZYgFq58js9+RXl/cgOuFuGGeSCgAVqSvRU1o2161fBLZQkcpzlPId1U7Q6vo/cB8QqkjlXpCmIjUd+CX2ZywuUpHKa7p8FtI4HAdsB9hcOmtDz1CcY9HGXEnj8ANgc3QCbovJwJ5pHBax3AIyGwlshd0Do74CtkVmNs5P6R6Z/R3YHbA5gHoX2Lw6c5A/MrsYOAy7hyk+A2yFzIp5L4fMjsH+0usdwI+bnU1raW8veifgnIhEbIjulIRB2WnotdQzVKQKfwucSMSPgGuAFQzKTgBOQY/gC7+wIhGHo2dmBhmUzYAjVaTymg2ZK6VypTd6Ce10zL6u+B3gwDQO/21QsyFK5cog9JbhY4AWg9LPo+tEin93jAyWQG/h+5lh5b8Dh+U+eu8MGXwPfb7DDw0rXw2chMyKqImbFRlsjO431jKo2oreaXI2Mit+i6cMdkHvClnWoOo49DW82oSYk0kFgEhEP/Ta1Snod7k3gwIOUJFy6vhTkYjB6E73IJpvsB8HDlaRcurlVyIRq6Ez7D1oLsY29LLKb1SkPjDhmylK5co66AZ74yalpgOXopc8XDmlFIBSubIFcB3wvSalJgESuCCPwtO6kMGe6GnmJZtU+go4Hpnd1LxTBpFBCzo5PBtYoEm1FDgEmRW1c69zZNAfvbvnRKBPk2ovAwciM5eOdwcZLILesvtLmu83HkFfR2Pb8Z1NKjoQiVgW/SAcACxVx1fb0R3tpcDfVaSK2HlREyIRa6CrtfcFBtfx1Vb0sbwXq0jlXTxYFyIRQ9DbTnejvlH9RPQhaWerSBU/qu2CUrmyI/ArdD1C7zq++hX6tMeL0zhMLbhmhFK50gc9mj8a2KzOr3+ITkouT+OwrhP6ckUGA9Fbh48E1q3z22+iD7u7Hpm59PKyWZHBosDh6KLKUp3ffgGdeN3qxMh9bshgBXS/MQxYoo5vtqHr0S4BKtVdJm4ig7XR/cbewEJ1fHMqehbtIhvLcs4nFR2IRPRBr39uDAyt/i3PjMZ7AvAa+uUnI4HHLB+GZByRiIHA9sD30fFtiB419UInSd+iX4rUEeMj1cO1egwiEQG6QG5L9DTlmsDS1X9uBz5FN85vopPCh6tHgfcYSuXKsuiai477dD1mPPRt6Bg7ruGLwGPVAtAeQ6lcWQ39PHbEuA4wsPrP04APmBHjc8BTaRw6m9h3igyGoJcLOmJcnRmzplPRtQQdMT6NzF4qws2G0TMXmwGboOP7PjrJ6BjhT0Y/hx0xPoHMnE7s50AGfYGtmbXfWJYZ/cZ49Ez2d/0GMnPhlOfakcECzOg3Nqz+LcGMfiNj1n7jYWT2lS13ekxSMTeqycZ0F2oIbCES0cfGOy1cQiSir4qUuyOfJimVKy1A7zQO59nrWI2xl3PLGiaRQS+gpbotdd5EBr2BNqdH6c0igz7A9Hk+Rpnl3t70+KTC4/F4PB6PGzi1pdTj8Xg8Hk/PxScVHo/H4/F4jOCTCo/H4/F4PEbwSYXH4/F4PB4j+KTC4/F4PB6PEXxS4fF4PB6Pxwg+qfB4PB6Px2MEn1R4PB6Px+Mxgk8qPB6Px+PxGMEnFR6Px+PxeIzgkwqPx+PxeDxG8EmFx+PxeDweI/ikwuPxeDwejxF8UuHxeDwej8cIPqnweDwej8djBJ9UeDwej8fjMUKfoh2oF5GIXsCawIbA8sAAYDowDngNGKUi9XVxHnpqQSRiIDCk+rco0A+YAowBXgZeVZGaUpyHzVMqVwaj79P1gMHo520K8CkwCng9jcPpxXnYPKVyZQlgKLAWsCDQG5gEfACMBN5J47C9OA8NIIMV0NdxNWAQ0AJMBN4FRiGz9wv0rnlk0AKsir6OJXSb2g5MAN4ERiKzzwvzzwQy6I2+RzcElkXHOI0Z/cZIZDa2OAcNIIN+gAA2AJZEt6mtwDfAK8B/kNkE2260tLe7/7yLRCwM7APsjb7xF+jmKynwCDBcReoZu955akUkYjXgAGBX9APeu4uPtwKvA/egr+MH9j1snlK5sjpwOLAL8D10BzQ3JqGTi78Cf03jcLx9D5unVK5sDUTANsAK3Xx8HPACcAtwe4+IUQZ90Ndvf2BzdAPdFWOAp9HX8T5k1mrXQQPIYBDwM2BfYBMg6OYbnwCPAwnwKDJzv+OQwSLAfsDP0cnEoG6+8V/gYWA4MnvesndmkMFy6GfxJ+iEol8Xn24D3gIqwPXI7C0bLjmdVIhELAH8BjgIPQpqhJHAWSpS9xhzzFMXIhFDAQmEdN3Jzo3pwN2AVJF6w6BrxiiVK9sDvwa2pbEYvwVuAs5O4/ATk76ZolSu7AecCqzToMRY4CrgnDQOM2OOmUInE0cBJwArNqjyMXAxcDEym2rKNWPIYEH0fXoUeoawEd4GzkV3vu51IDJYCvgdegDTXSIxN54H/ojMRhjzyyQyWB3dpu5J4ysO/wAkMnvOlFvgcFIhEvEz4HJgCUOSdwFHqEh9aUjP0w0iEf3QN/6v6XpWolamAmcA56pIObFsUCpXFgYuQo8WTDAWOCGNwxsM6TVNqVxZHrgW+JEhyY+Ag9M4/IchveaRgQCGo0e0JlDAMGQ2ypBe88hga+B69BKHCR4HDkJm/zOk1zwy2Ae4FFjMkOLfgGOQ2VeG9JpDBr2A44E/opdwmqUNnQT/BplNMqDnXlIhErEQcA16yso0Y4CDVaTus6DtmQmRCIF+IBsd1XbFi8C+KlLvWtCumVK5si1wI3qN1jQPAFEah2MsaNdMqVz5BXAZ3U+PN8K1wDFpHE62oF07Miijk9Wupo4bYRpwFnBGoSN6vdZ+IXAkjc2idcV44Hhkdq1h3fqQwcLAdehlANN8DhyIzB6woF07MlgJuBnYzIL6aGBfZDayWSGnkgqRiMWAh4DvWzTTBhyuInWNRRvzNSIRm6LX7Ra2aOZz4EcqUq9YtDFXSuXKXug19L4WzbwJbJ/G4ccWbcyVUrlyChBbNvMEsFsah+Ms25kTPeq7AjjUsqWbgAOQWf6zazIYiF463NGypTOQmbRso3NksCS6FmJ9i1amoxOLGy3amDsyWBNdJ7i8RSvjgd2R2T+bEXFmS6lIRID+0WwmFKBjvkok4gDLduZLRCI2QieGNhMKgKWAR0Ui1rJsZw5K5coe6MJDmwkF6GLWx6o7LHKlVK6ciP2EAmAr4P5SuWJiKrdeLsd+QgG64POG6i6L/NAzFPdgP6EAOB0Z/D4HO7OiizEfxW5CAXr59gZksK9lO3Mig1WBf2I3oQBdtzgCGWzejIgzSQVwK3orTB60ANeIRGyRk735ApGIpdHT9gvlZHJx4CGRiME52aNUrgxBL+uYqBGphTWA+0rlSl72KJUruwPn52UP2BK9FJIfMjgJOCxHi/ujiwfz5DLM1cHUwhnVmoZ80EnanehdD3nQC0iQwSY52evYpfMgsExOFgcC91e3UTeEE0mFSMTB5JNNz0xv4AaRiO62p3pq50p0R58nK6LXi61TKlf6oov5+udhbyZ+AJyYh6FSubIYeodG3uxXnQGyjwzWQhe65c1vkcGQXCzJYEfgkFxszcplyGDpnGwdhd7WnCd9gOHIIK+ZtRh9PkqeLEwTSX7hSYVIxArABQWZX4V8pnjneUQi9gN2L8j8QSIReSSlv8H+NOvcOLNUruSx1HMpemmpCK6oJjX20IcgDSf/xBD0ctlwZGB32UwGAbrYvQgWJY+kVAZFtt1rAH+wbkUGWwJHW7fTOTsgg4aS0sKTCnRCkdv0dSccJRKRz+hhHkUkYhB6W2WRXC4SYW2JoFSurACcZku/Bvpj+TeuHmqV3/T1nCyF/RmEg4GNLdvoisXYwBAAACAASURBVPWx31H8Dvvr712xGzLYxbKNi+j+EESbnFCd8bKDXtq5AvO7derh/GqCWheFJhUiEasAPy3SB/RFy2VqeR7mAPJf9pidldEnBNriMOwXZnbH9tUTO21xskXtWhlmrTBV7/Zw4Vk/vnrQlnl0J5BH8Wl3nGRNWe+EsJ20dEcv9CFpttgFXahdJINp4F4qeqbiEAd8ANhTJKLR0+U8+lhqF7DiR6lc6Yce4RZNC/qsAeOUypUS+dc1dcYAzB0kNjvbkP/6dGesAOxsSXtf8iuU7ootq52/DQ6j2BF8B/siA1uz7K60qYfVu2up6A79FwXb76A/+rhTT52IRKwPrFu0H1W2rNbomGZXiqszmJ2oWjBqmv1wo6EGvVPCBq60N2AvRlu6jWDeF93B7WdctzEGYeOwLRksQb67drpiVXSheM0UllSIRKxEset+s2PjlLL5AZd+txZgUwu6P7Sg2SgLYyeJc+k6ilK5YmO07VKM5n2RQX/sn/NTDzZ+79Ux9+oGE9hob/6P/Las10Jd17HImYqhBdruDNf86Sm49rvZ8MfHmC8tmD6zRtcarGpUszmWQQamzx4QFF/3MzMbWDjwy6X7FOb9ZxHq9McnFTNY059Z0RCuXUej/pTKlV7kdyhbrZiOcXm6f7133pi+rzbEneWdDkzH6NqzOBjzNSyuxbhu9eRSk7gWY49JKlwaNYD+LUpFO9EDce06mvZnKYrdutYZpmN07RqCj9EFPRPM6zH2QxfemsS1GFep58N2tjXVRhFn/XfHwKId6IG49puZ9aeltR8tbROMajZLu/ER9/zwLLp2n4J5n+aH6zg/xOjavdoLGfRHZlNq+XCRSYWLuPPK1p6Da7+ZUX8WWvN3vXBvpqK/nTc8O4Xp+8q1+xTc9Mk0Psbi9UxQs09FLn9MLND23HDRJ9dx7Tcz7Y9r8QFMMqznYozzw3X0MRavZ4J5PcbpyGxqrR8uMqkYXaDtzpgG/K9oJ3ogrl1H0/58AWSGNZvlbcN6rl1DMO+Tj7EY5vUYJwMfGtZ0Lca6/CkyqRhZoO3OeF1FanLRTvRAXLuORv1RkWoHRpnUNIDRGNM4/Bz42KSmAUzfVy8DbYY1m8V0jK49i18jM9MDNddifAWZTTOs6VqMdfnjk4oZuOZPT2Ge7nAtajbDvB7jdOAVo4oym4BbI8APkNkYw5qvo0fOrmCjbXDpPgU7MfboNrWwpEJF6hPgvaLsd8KTRTvQQ3Hpd5sOPGNB93ELmo3yBfCmBV2XruPINA5trCu7FKN5X/SI+Vnjuo1jI8b/Ah8Z120cG/fUc0DNNQw5UFeMRb/748aC7XcwAbiraCd6IipSbwEvFu1HlYdVpD6zoPsQ8L4F3Ua4VkVqugXdW9BJmQvYahdcaW9g3o+xHbjJkrYt3XrJgPuMq8psLHC/cd3GeB2Z1TVzUnRScS1uZGR/VZEaX7QTPZi/FO1AlcttiKpItQFX29Cuk+nAVTaE0zj8FLjbhnadjAP+akVZZk9jelmlMUYDj1nSvg34ypJ2PTyIzFJL2lfhRgI8HJmZ3onVQY9tUwtNKqpLIHYakNqZBlxYsA89nb9hvgK6Xl4HKhb1r6X4rV73qUh9YFH/PIrfI39lGoc2d9v8yaJ2rZyHzOwUjepO7jIr2vVh73eW2fvo5KlIpgIXWVOX2eMUPwP8BTC83i8VPVMBcArwZYH2z1GRcqmAq8ehIjUVOLxAF9qAQ6o7NaygIvUFcJot/Rr4FjjepoE0Dl8ErrBpozsXgDOtWpDZLcAjVm10zb+B6y3biDG/7bgeEmT2L8s2TgS+tmyjK86wOBPTwWHoQW9RHIXM6h5IFZ5UqEiNAY4syPyrwB8Ksj1PoSL1AA1ktYa4UEUqjwK1S4CncrDTGSdbnqXo4NcUc15LO3BgGod5LEMejE7S8mYicIC1WYoOZDYZOIBittB+Ahxn3YrMPgN+Zd1O57wEnGvdisxeBs62bqdzbkdmdzbyxcKTCgAVqTvRhWJ5MhkYpiLVmrPdeZnjyL+g8XXgd3kYqs6EHED+HdKDKlK51HSkcTgBHWPeI6TL0jjMZ5eNzD4gj45vTk5BZu/mYklmz5L/Uk8bcHC10NA+MruZ/AvsJwLDkFleNR1/JP9ttJ8CRzX6ZSeSiioHAv/MydY0YC8VqZdzsjdfoCKVATug1+Ly4H1gxzwPLVOReg/YFfNHZc+NF4C9crIFQBqH/0I/j3nVV9yN5aWdOZDZDdheapmV85FZ3rUOvwFuztHeEcjswRztAexPfrOHU4E9kNnrOdkDmbUCIfBOTha/BnZo5gwVZ5IKFakp6Mb6YcumpgB7qki5smVnnqJan7I1ehrUJu8BW6lI5b5nXUXqSWAXwPZU/bPAj4rYmZTG4U3AMOxX2d8J7JPGYf7V/DI7HTgjB0vnIbOTc7AzK3qZZRj2t2C2oROK/HdI6cLUEHjCsqVJwI+Rme3+aU5k9jm6TbVxPs3MfAFsh8xea0bEmaQCQEVqIjqxuAg764HvAduqSN1rQdtTRUXqDWBTwFaxVgXYTEUqtaTfLSpS/wS2QC+/2OB6YHsVqXymkjshjcMbgZ2xc4T3NHQ9095pHBa3rVxmEt3x2thxMh44HJn92oJ2begDsSL0rIWN3/lzdGd7pQXt2pDZOGAn9DZMG7Nro4GtCpiFmYHMPgZ+iL1t388Cm1brOJqipb296B1knSMSsTlwA/A9A3Lt6G1W5Wri4skBkYgW4GjgHMy8PnwscJyKVGJAywgiEf2B09EFjr0NSH6E3snykAEtI5TKlYWBP6M7XxMoYFgah+4cRyyD5YFrgB0NKT4OHJjDDoHakYFAF1NvaEjxb8AxyMyFczE0MtgauA5Y2YBaG3qA+1uL51HUjwz2AS4FFjOgNhn4LfBnUwXEziYVACIRg4Bj0FW+yzYg0Y4e1Z6d0+4ATyeIRKwMlIFfAgMakBiPHrmfWz3bxDlEIoYAJ6DrH/o3IPEh+lCfy6q1Kc5RKle2AU4FtmtQIkUnJ1cWOjvRFTLYE73NfWiDCq+gz/u4BZm517jKoA9wCPpebXTA9i8gRmbOJL6zIIMFgWPRA5qlG1BoA/4OnI3Mij4ronNksBRwMvpaDm5AYSq63uYcZGa0XsPppKIDkYi+6GnYvYGNgVW6+PgE9IP9KJCoSP3XvoeeWhCJWBTYF73ENZSuM+3P0VXP9wC3q0gVsQWwbkQiFkcXOYbABsBCXXz8A/QBNzcBIywdv22cUrmyJnpKfWtgfeaeKLYD76LfZXAL8EghtRONIION0UWAPwTWAfrM5ZPTgTeAp4GbkJmNd8+YRwa9gG2A/YBNgNWZ+3L4FPTs0hPoMyiaWnPPDRn0Q9c+/Rzdb5S6+PQE9JtsH0HH6Mqx/F2jE6ifAT9Ft6nLdPHpb9AvKxsB3IzMrJwP1SOSitkRiVgEPYW3HLpBm44+3vc14K3qscoexxGJWAkYAiwK9EM3XmOAl1WkXHsVd91Ul39WBwR6NNEXPd34GTCyekZLj6ZUrvQB1q7+LYBeApqETpheTuOwRySDXSKD/sB66Gs5EGhBx/gO8KpTU+ONojunDdAd70D0aH0Cujjw9eouhJ6NDBZF9xvLomNsZUa/8bb180PyQAbLoGNcAj1jOhW9bPwfC6+h75QemVR4PB6Px+NxD6d2f3g8Ho/H4+m5+KTC4/F4PB6PEXxS4fF4PB6Pxwg+qfB4PB6Px2MEn1R4PB6Px+Mxgk8qPB6Px+PxGMEnFR6Px+PxeIzgkwqPx+PxeDxG8EmFx+PxeDweI/ikwuPxeDwejxF8UuHxeDwej8cIPqnweDwej8djBJ9UeDwej8fjMYJPKjwej8fj8RjBJxUej8fj8XiM4JMKj8fj8Xg8RuhTtAONIhLRG1gM6A9MB8arSH1brFdmEYnoBywC9AOmAZmK1MRivTKLSMRAIEDHOBX4RkVqSrFemUUkYkFgMNAbHePXKlKtxXplFpGIAFgQPVCZDHylItVWrFeGkUEADC5NvqUNmJTG4ddFu2QUGfQCFgUGAO3ABGQ2tlinPHUjg/7Awui+sRXIkFlu/UZLe3t7Xraaotpo7Q5sDHwfWA8YONvHPgRGVv8eUZF6Plcnm0QkYml0jBsBQ4F1gL4zfaQdeJcZMVZUpN7M289mEIlYFdgVfQ2HAqsz64zZdOBNdHwvAfepSH2Yt5/NIBIxBNgRHd9QYOXZPjIFUOgYXwTuVZH6Klcnm0AkogXYHNgGHd/3gWVm+9gE4D/oGJ8D/q4iNSFPP5tCBr3RMe4KbIq+TxcDWG3yja2t9OkLfAOMQsf4FPBgGofTi3G4AWQwENgFHd9QYAiw0Gyf+pwZ7c3jwBPIrGd0GvMLMliWWfuNtZl1wqAdeIcZ13EEMnvbljvOJxUiEesBJwB7MWcS0R1vApcBN6hITTLtmylEIrYEjgdC6p89eh64GLhDRWqaad9MIBLRC9gNOA7Yss6vtwGPABepSD1k2jdTVGeV9gN+hW6c62EqcC9wgYrUC6Z9M4VIxELAIcBRwCp1fn08cAtwoYqUtQataWSwCHAMcDSwRGcfmSmpmJ0PgWuAa9I4/Myek00ig1XR7c3+6Bm0engfuAK4Epllpl3z1IEMtkVfxx3Rs6D18AxwEXA3MjOaCDubVIhEDAYuBA4yIPcxcIiK1IMGtIwhErEscDU6mWiW14FhKlIvGdAyhkjE2sBwdBbdLP8CDlCR+p8BLWOIRGwBXA+sakDuNuBoFakxBrSMIRKxF/AXYPEmpdqAS4FTnUr0ZdAXOBk4Fb2MM1e6SCo6mAL8HrjAqZkLPS1+BnAS9XdCs/MNcCwyu6lpvzz1IYMVgGuBHQyovQIMQ2b/MaAFOJpUiETsgP7RVjAsfQNwvIpU4Rm2SESEzhQXNig7DTgXOFNFaqpB3bqp1rycDEj02p4pJgCnAJerSBV684pEDAJi9Ki2xaD0F8ARKlJ3G9RsCJGIJdDJxJ6Gpd9BJ4hPG9atHxmsDtwKbFDLx2tIKjp4HhiWxuFbzbhnBBlshE7u1zasfD9wGDL71LCupzNkcDBwAfXPMHVFK3AWcDYya7rWy7mkQiTi1+iO0RbvANurSL1v0cZcqS4FXAEcatHM00BYVPJU7WzvQk/L2eI2YP+iCh5FIpYC/gGsb9HMuSpSZYv6XSISsRbwMLC8JRNtwOEqUtdY0u8eGfwAGIEuUKyJOpIKgInAT9I4/Ecj7hlBBvujZ9JsFeZ/DvwImb1iSd+ja3yuBYZZtPI4sDsyG9eMiFNbSkUiTsduQgGwGvCUSETJsp05qBa4JdhNKAA2A/5ZLW7Nlepujgexm1AA/By4SyQi9x1M1YTiSewmFACniERcbNlGp1SXrZ7EXkIBuv25WiTiaIs25o4Mtgceo46EogEGAX8vlSu7WLQxd2RwELrNsfmcLAU8gQxqmunx1IlOKG7BbkIBsDXwCDLocvmvO5xJKkQijkJPlefBCsAjIhE2G5POuBD4RU62NgRGiETUOqJqmmrSdAewRU4md0WPwHJDJGIB9AzF6jmZ/JVIxO9ysgWASMRy6OLYZusnauUSkYh9crKl+f/2zjzOrqLK499OCAkBctmHdXgRFAQKJwaRmQFEB2RpRkHEKAqXsIMgIAw2y2gxbK0YUNkXIZdFRVYdn4PAgOIMMmoIUhgURJtFloiSCwlJyNLzR92mO8nr9Hvv1qm63anv55N/oO/v1Hl3qXNPnTpXJ+8F7qD14u92WB24vdZV/2cPtvrRycexNVsul+YGYx3gJ+ik1QLeyNBcjt2o4IMPAj8oApm2qERQUbwVTfNsdmvsyfKCytQ+2N0PPtkVONujvZNwU3TaCoeqTB3i0V438hmK5fmKytQuHu19G9jUo70O4GqVKdc1VI3RyQTgh7hdlx6KccDNta56qbfAptHJxtiA2+czfkNgOjrxEcSsGujkAOA4z1Y/gq2Ha4vgQUVR0Dcdt8V8zfIZlakDpY0UyxDXS9sZhLOKvgmiqExtDVwkbWcQLit6fIiiMrUHdjulb0YD01WmxkkbUpk6Cthb2k4DJuDvHjkP+1Lhm4nIL+/2cTWyyzqDsRt2W3WkLDpZH3seg1hHJ9u3c2DwoAK7z9bFdsN2udpD7cHFwGbCNgZjDHZCkj7X12PXj0OwHsJZJ5Wpsdg3+FBvYdsAX5E0oDK1Cf4zhgP5qMrUVFELOtmRMIFhH8fXuuq7ilrQyRRsM6RQXIhOagHtjxQuxdarhGAsbS4tBw0qijevM0KOAdgIwfRSkdKVfVAOzfsQfMgUzbtabWrlmoNUptqKrJvkUFpv+OSak1Sm1hXUPxW/SwKNOEc4AD6P8j0aytCB/DPPaw1OA8Zje2FE2sU2KPts4FHsjE72bfWg0JmKzzBI1zrPnCj4IDuBanxj5WRB7aqkO0e6j2viphncChS7do6W0G6Rd2ELcN2jk4nYttSh6ax11bcUUbZdFiWD62aZWtSuRNrjRMLPz9DGMzX0oEO/wfexObCna9GiXuQw17ptsrvKlPM3bZWpDZCaBFpnSjE5OkVlajKgXOu2idQ9cwBuG7GVQcrHQwn/zAM7hmOFtKvyTB2Pvx0LIwvb3dXXLsGh2AudtLStPNgNVnxHQHZtsTUk+irsiN8q+pXRgUwB3r+w7EfPQjIB+3Ek17ScAhRkO6FdElXyca8iIHeNi7bGrpDKmFTpPEr3qhmp7IS/7dxDMQrYq9UDQjGJcEVvjZg8TDTLEH2sjmYZRrqP44FtnSrqZDxhC8KXZ7taV91tVs0WR4bY8TEYVbqmhhNV+91aGk/IoKJqP9ykonmTS6rm4/uHiWYZRvqEC47HUzT0cjuJl8f1dbUDtglVVRiN+34nVbtOa+ikSkHOcGFYP1NDBhU7BrTdiLWx+8hdUjUfdxAoSK2aj07HozK1Du4/bFcW17/59lSj1mAgrn2syjLkQFz7WLV7Eao5pqpTtd+spfGEfJBUsTLY9Ziq5uMY3Lcl9v59kSEY6ecQVg0fXV9XmzjWc8GqcB6rOKaqU7Vn6vhW2naH3OpYleK+gbgeU/TRPyPdP4g+toOzws8HVj99xlJGlf6880u96y9w3NV+VTiPqwJV/M3GAEua+cOQQcXCgLYHw/WYqujjAgE9Hx9lapZV4RyuCj66vk7nuhLactRsJ99hmcgrd7jQGUAVz2MVx1R1XF/7Lmj6PIZc/ng5oO3BeMWxXtV8zE1qXF+wrn+zsrgez2vAYseaZRnp1ym493GOYz0XPO9Yb1U4j6sCVfvNZqPzpjNzIYOKxwLabsSLJjWzHWtWzUeJ8VTNxxkuxYogbJZLTQc49RH4PTDPsWZZXF9Xv3es54KnHetV7V5cBJjQgxiGVO08tvS8CRlUuH4wlkViPNFH/0QfW8SkZinwuEtNB7j+zZ8G3nSsWYaFjPyg4kl0Hpc/WmdYP29CBhWzqNbb0a8FNH8loFmG6GN7VMnHJcBMAd0q+fiSSc1LThV1vgT4mVPNcjyIzt0uRep8DvCMU81ySNyLqwJVuhehxfMYLKgwqVkC3B3KfgNudy1oUvM88EvXum0yD6gL6P4M+IuAbjs8Y1IjMeHeTXXqKu4zqXlDQNf59V8CqbF8R0i3Hf5TSLdK5/H7oQcwLNH508AToYdRkAP3tXJA6IY31we238f/mNRIrblWxcfbTGqcVcD3YVKzCMhc67bJtyVETWpeQSYgaweR68mk5hGqUzsich6BewCJgKxV5gLfE9K+AVgqpN0KfwIeDD2IYUxV5o1b0fn8Vg4IGlSY1PyMaqwfXSKofTPVeJOX9PFbhH+TnwtcK6gv+fs1yx+xE6MUlwpqN8v9JjUyxX324fgtEe3WuAadvy6irPNngR+KaLfGN9B5FYKb4cqNgMw10jxLgW+0elDoTAXAvwGlG8mU4OcIPqiL3QPnSOk3yY0mNb+VEjepeQH4ppR+k1xgUiN2E5rUPEz4h/UZRVGlFBlh066LgS5hGxdjtwmHYi4wTdjG2YTtD/E0cF1A+8Mfnc8FdOBRXIPOW67RCR5UmNQ8BFwVyPxbwFSTGtGgxqTmWuB+SRsr4UXgVA92ziHctr1fYicLaY4F/ubBTiNuM6m5U9JAsZR1OOGyTheZ1MjuYND5G8AZojZWzpnoXLafhM5nEW5CWgpMbTVlHmnIZcDDgWz30OZ9EjyoKPgSdg3ON2ea1DzrydZRhFnPPdqkJpc2UmRkpuJ/PXchcHhR+CtKUVtxsrSdBswGTvRhqCh0vdCHreV4AjjPiyWd30iYos2fAFd4snUxYYrEL0XnjwSwO/KwDaeOwL78+sTatdmSlqlEUFEUEB6ErTT1xS3YSNALxU6QQ/D7FqhNau71Zcyk5hf4nXR7gSNNap7yZdCkxut1A8wHPmlS4zNlfx7wI4/2XsX6uMijzeOA33i09zjwqVY6E5bCbqH9FDZT6YsHsEsvEVfYGplDafK7G444E50/1O7BlQgq4J03pP3w8zZ/Ox6WPZbHpKYOfBY/gcXXTGrO9WBnGUxqLsdmnqRZChxnUnOrB1vLczJ+qrPnAwea1Pzcg613MKlZDBxMi1vJ2mQ28FGTGr/9FXT+JrAXfjo+PgPsWyy9+EPnz2F9dNvzozEPAwfEZlcC6Pwu7LKkj8DiPHT+1TICHb29IWskV0RlahK2IG5zIRNXASf5SJcPhspUJ3ArMp+4XQKcbVJT6sIoi8rUsdhK+9UF5OcBR5nUSG3LawqVqYuwAVSHgPxfsG/vodZUUZlaHVuFfoiQiT8A+wtu5x4anayH3d65l5CFB4GD0XmoWhzQyUTsluj3Clm4G/hsrKMQRicHADcBawuoLwLOQOct7/ZYnsoFFQAqUwl2C98RDmVfAo4psgXBUZnaDFshva9D2VnY+oJKdGRTmdoemA7s5FD2YWyW6Y8ONdtGZWoPbG+AiQ5lbwdO8LzkMSgqU1OAy4ENHEn2YgPOs0xqfK8Xr4hOOrC7Tv4Dd19uXoTd5fHv6Dz0dmvQyTjgXOA03H0Gfg5wMjq/yZFeZCh08vfYPi57OlR9AkjRuZNW/ZUMKvpQmdoXu3d+mxIyi7AT2xkmNZX7UqHK1FTgfGDTEjJzsVs6zzOpqVT6UWVqNeB07Bv9OiWk/oJd67/c97LVUKhMrYk9h8cB40pI9WCv0yp1RQRAZWoj7L04hXKT0hPYTGGwDMyg6GQb4AJsfVcZHgC+gM691fo0jU52wQaIk0uoLAXuBE5B5z6WViLLo5NjsEHixiVU3sQGvheic2f1TJUOKgBUpjqA/YGjsW/1zb5JPI9NFV1tUvNnoeE5oUgzTwGOBHan+XT6LGx6+tuSPRpcoDK1FnZd8AhgUguHPorNBNxiUlPp9Gox8R4DpMDWTR62FDsJXQ/cFXJZrhlUpiYCxwOfAzZp8rCF2LbU15rUhNpa3Tw6mYS9TqcAGzZ51JvAHcBV6LwSmcKVopM9sFukD6D5QHg2dtfMVUUr6UhIdDIW+Ax23ti1hSMNdt64AZ073xxR+aBiICpTE7AT0uTi3+bYG2IJ9qZ+EtuhcwbwdNXeaJtBZWoD+v17P7AR1se3sbtjHqfw0aTmuVDjLEOx9NPn4yRgPWztxUJsY6KZ9Pv4SqhxlkFlaiv6fdwRmACMARYAL9N/nT5W9YCwESpTo4Bt6fdxe2BNbBZjPjao7/NxpklNlT4e2Bw6WQ3YBfggoLABxtrAWGzm7GVsoyfbGdjuuBhe6GQ88D7sOdwJqAFrYIPdecBT9J/HWcPSx1UBnWxE/5zRN2+Mxc4bcxgwb6Dz5yWHMqyCikgkEolEItWlMltKI5FIJBKJDG9iUBGJRCKRSMQJMaiIRCKRSCTihBhURCKRSCQScUIMKiKRSCQSiTghBhWRSCQSiUScEIOKSCQSiUQiTohBRSQSiUQiESfEoCISiUQikYgTYlARiUQikUjECTGoiEQikUgk4oQYVEQikUgkEnFCDCoikUgkEok4IQYVkUgkEolEnBCDikgkEolEIk6IQUUkEolEIhEnxKAiEolEIpGIE1YLPYBWUJkaA+wATC7+bQ6MBZYAbwK/BWYAM0xqXg41zjKoTK0B/APWv/cDGwGrA4uBOcBv6Pfx9VDjLIPKVIL17f1YX9fD+vg28BowE+vjTJOauaHGWQaVqQ3pv053BCYAo7E+vkxxDoEnTGoWhhpnGWpd9S3o93E7YE3si8oC4Hn6fZzV0925ONQ426XWVe8AtqLfx3cD44v/PR/4A/0+PtPT3dkbYpyl0MloYFusfzsBWwLjgF5gHvA7+nzU+XOhhlkKnawOKPrP46YsO28Y+n18NdQwS6GTNemfNyYBG2J9XAS8zoB5A53PkRxKR29v9e8DlandgaOBT9B/Uw/Fb4HpwA0mNX8TGpoTVKZGAfsDRwL7AmOaPPRR4AbgFpOa+ULDc4LK1OrAFKyPuwMdTRy2BHgA+DZwt0lNpScmlam1gRSYig2YmmEh8EPgepOa+6TG5opaV30d4HDgOGCbJg/LgZuBK3u6O58SGpozal31rYBjgc8BmzR52GzgVuDqnu7Op6XG5gydTML6OAVYp8mj/gRkwHXo/CWpoTlDJx/GzhsHAGs0edQT2HnjRunJtzQ6GQV8HPtM3ZvmkgS9wCPYeeM76HyB62FVOqhQmdoVuBQbQbfLPOBq4MsmNW85GZhDVKYOAi7CvgW1y1+BrwHTTGqWOBmYI1SmOoDjgXNo/gHdiOeAr5jUZE4G5pAiYDoLOAVISkg9CZxWxeCi1lVPgAuwAVOzgX0jHgJO6+nunOlkYA6pddU3By4BDqL9peFebJB4Sk93Z4+joblDJzsA3wQ+UkJlEXATcAY6r94Lm072wJ7HSSVU5gKXA+dKTLyl0cmnsffju0qozAa6gW+i86VOxkVFg4piCeBC4Au4q/t4FphqUvNzR3qlOw76XAAAEFpJREFUUJnaAHvRTnEo+yvgcJOaWQ4120ZlaiI2It7DoWwdOMakphJvSipTO2HfbLZ3KHs9Nrh4w6Fm29S66vsA12GXG12wGHt/n9/T3bnIkWYpal31I7ATUZmgcCBzgTOwmYvwD1mdrAZ8CfgydqnRBa8Cx6HzexzplcMuAXwVOIHmMqHN8HtgKjr/hSO9cuhkI+xL8oEOVR/B+ugkw1a5oEJl6r3APcB7BOR7sW/0Z5rUBHNcZepDwPex9RKuWQicYlJztYB206hMHQJci11nd80c4FCTmh8JaDeNylQXcB4ytUkvAAea1MwQ0G6KWld9NHAZNtMkwW+Aj/V0dz4vpD8kta76WsB3scuPEtwPHNzT3ZkL6Q+NTjYFfkC5jO/KmA4cg87DBYg6Udh5o8yb+2AsBc5H518R0G4eneyJvVY3EFCfD5yIzm8oK1SpoEJlahJwHzI/2kBuBI4yqXGW8mkWlalO4A5sMZQkZ5vUXChsoyEqU8cDV+DubaERi4HDTGq+K2hjUFSmpgFfFDbzBrB/iOxaras+Bvgeto5JkheBfwlRh1DUh9wLfFDY1OPAXj3dna8J21kRndSAB4GJwpb+CzgQnfsvOtbJztjzuK6wpauAz6Nz/5OmTg4AbsNdlmkwTkfn08oIVGZLqcrUtvgJKMCuC1/uwc4yqEx9GLgT+YAC4AKVqVM92FkGlanDkQ8owGYHblaZOkDYzgqoTJ2PfEABdsdIvVhi8Uatqz4KW1gpHVCAXVJ5oNZV/3sPtt6h1lUfj11Kkw4owFbl31vrqk/wYKsfnWyCLXSWDijAFph/v1hm8YfNUPgIKMBm7C7xYGdZdLI3fgIKgK+jkxPKCFQiqFCZGodNXfkIKPo4XmXqKF/GVKY2xmYoxvqyCUxTmdrDl7Ei03Qd8gFFH6OBW1WmtvJkD5WpTwBn+7IHrA3cU2zD9cW/4bbWZyi2AO4ollt8cRnwTx7tTQau8WZNJx3YTJO3ewP4GLZmww+2huIe/AQUfZyCTj7nzZpOtsAulfsIKPq4DJ38Y7sHVyKowK5LN7s9zSXTVKa28GTrGmw/Bp90ADeoTEnUNSxD0UNkOv57n4zH+igeyKhMrQ9cKW2nAZthd0GJU+uqbwec68PWcnwAG8yIU+uq7wsc4cPWcny61lX3kf0BOAm7dds3Z6KTZrdTl6UbmRqKofhWkQXywfXYjKVPRgE3opO2MurBgwqVqX/ETyq5EROwJ00UlanPYaP4EEzEVkRL8+/YJk8h2B37EJXmcuDvPNhpxFSVqf0kDRSZgun4zaYNRBdBjRjF1tjrJG0MwVW1rrpsRlYnW2O3qYdgNWB60XBKDrtt9POiNgZnXXxknXRyFPBRcTuN2QY4v50DgwcVwNcJO46PSj6six4GPib1lXGCypTEbhrgnaWdL0npN8l/FM2nRFCZ2hn4tJR+k0wTzsgcjM0YhGIsbT7IWuA0bOYnFBsBZwrbOJ9yvUTKopDPBE3D3zJrI/4VnZTp9bFydNLXViEkpxSFvi0RNKhQmdoFv+uag3GaoPansW1hQ9IBSBZtnojfNb9GJIBkjYzkNdIs2wKdgvqh3vwG8rFaV11k0q911dfA9jAIzdFiRZs62RL4pIh2a5xa1HW4x2YpfC2xrAzJZ8Kh2FbbIRkNnNzqQaEzFccEtt/Hh1WmpNbmquLjISpTzt9eVKZGE2Z9uhEiQUXRqMxls5kyiPhY66orYFcJ7RYZjW0fLcEngPWFtFthbeQKYadif8PQvAe5mo6qPFP3QSeuGsItT1V8PKzVpaxgQUXxvYuDQtlfjg5s6tcpKlObAf/sWrdNJgD7COjuRrn22y7ZTmVqBwHdA2n+eyzS7KcytZaA7qECmu1ymJDup4R020FqLCPbRzvBed9GPgijkMgK6eRd2N1CVWA9YM9WDgiZqdgW/1WtK2NnAc2Q69ONkPBRQrMMI93HMdi+B67x0a+hWbasddUlus1W6Tx+oPgKqjt0MgH7XK0KEr/3DjT/cTAfjPTnDbQ4npBBRVUisT4kxhN99E/0sUWKya3Mx5ckcNrwq9ZV3xTY2KVmSRLc95CYRNjixeVR6MR1hm9E34uCmmVoaTwxqOhny2Lt3CVV81GiuKkKBVMDcfqbF7t3JJZUyuD6uno3dp2/Srj2sWrXKbj3sWrPm7G4v3eq5uO70Ynre6dq1+qwCSpC74hohOvagKr5uJ7KlOseBFXz0fV4NqQ69RR9uPaxaucQRv69CKvGeRzpPnbgPgNWNR83aWUnj+/uhwMJ1WBnZbj+JkcVfVwD+yVTV/j4jkkrrArn0KmPo9d6anTHqIXBvobakN7V5jrePVu16xTitdoOVfTRdY1HFa/VscCCZv4wZFCxJKDtwVjsWK+KPrr+PPFiwveoGMiqcA6d+jh+i6yD6qWVH3PcT831deGCeK22ThV9lHimVo2mxxRy+ePNgLYHw/WYqubjYmC+Y82q+TjSzyFEH6ug54LoY3g9F4x0Hxeg82ERVJiAthsxD/ijY82q+TjLpGapY82q+eh0PCY1fwNecqnpANe/+Syg17FmWVz7WLXrFKKPVdAry+vo/EXHmlXzsaXxhAwqqrWGC48LTLhV8/GxYaJZBonfvGrn0el4TGreBJ52qekA17/5b3FbS1SWpcDjjjWrdp2+gM7/4lizaj7OFNAc1s/UkEHFY1Tr7ShORtXRLEP0sTqa7TIfmz1xRk935yKq9Qb4u57uznlOFXX+LDDHqWY5Rvp1CtHHFQgWVJjU5MD/hbLfgPsENB8HZgvotouEjw9SncKiecAjAro/EdBsl2dManoEdH8soNku95vUSBTkVek8StyLkrrt4H4sOp+N+wxPGSR+718BrwvotkMv8EArB4T+oNj0wPb7eAWBB45JzWLgFte6bfKISY3zFLdJzSvAva512+R2k5q5rkVNah4Ffudat02mC+neAbhOVbfLlUK6mZBuO0wfZrqtsgD4npD2dCHdVnke+1LlFp0vBL7rXLc9HkLnPa0cEDqouIVqRGRXFQGABFdg109Dc9kw1W4FyXFcLqjdLAuA6ySETWoWAjdIaLfIHxB62+7p7nyGagTAD/d0d/5GSPsnwDNC2q1wCzqXerZPpxo7JK5A51LP9supRnlAy8/UoEGFSc084JKQYwD+hp34RTCp+SNwq5R+k/wOuF1K3KTmPsIvZf3YpEaywOlGwHWVd6tcY1IjmU24AnhLUL8ZppnUSD5Mzyf8w/o8MWU7yV0gpt8cbwMXi6nrPAe+JabfHLOBa8TUdf4UNnsYkieAH7Z6UOhMBcBXsYMPxRdMav4qbOOLhKutWApMFVqjHsgRhKuufwM4TtKASc1bwNGSNobgT8DZkgZMal4AzpS0MQQPI/mgBnq6O/8XueWVZrixp7uzpTXqltF5RtjaCo3OpXcTnU/YJckTiuBGki9gX3pDsBiY2k4mJnhQYVKzCDicMMV+PzCpEc8imNS8BhwvbWcQphU1AaKY1MwCtLSdQTitmBBFMam5F5ux8E0vcESR2ZPmMuzk7pu3sD76yCJ8Cfc9aZrhReBUT7aOwgbbvvkV8DVxKzpfgJ03QnTYvA2d3yluReevACeJ22nMRei8rcxv8KACwKRmJnCOZ7MvIPx2OxCTmrvwv2b9GPBlj/YuBn7q0R7A3SY113u0dyr+ezp83aTmpz4MFZP6VOA1H/YGcLJJzbM+DBVbOQ/Db2ZtEXB4T3en9NutRecvYF9kfC71zAFSdO5notf5/yG5lNSYHuBEb9Z0/h38L58/SonftRJBBYBJzVfxV18xG9ir2Lngk2OBezzZegrY26SmqY/AuKBYYvkY9m3FBw8Bh3iyBbyzFXpP4DlPJm/E8UcwhqKoA9oH8DMBwtmeA8O+ZZApuP9uQyOWAIf1dHf+twdb/dgJ6YuerM0DOotaAH/o/Fz8LWe9DOyJzn0H3FPxt+XbAPuh87bvi8oEFQAmNacBFwmbeQHY3aTm98J2VqDYYfIp5LZa9TET+FCx7OKVojvjXsD/CJv6MdDpM2jqo1hq2R35jMVVwFGelgSWwaRmBvAR5LeZnm5Sc6GwjYb0dHf+APgETX59sU3eBqb0dHdK3/ON0fk3gM8jm7F4HdgLnUv0iGmGE5F/Ie0BdisajPnFTvAHAncJW/olsEfZXTuVCioATGrOAg5G5mF2F7BTiICij6KG5BDgZNxX2vdiK/h3E94lsFIGvM13437N821sweLHTWpcfxytaUxqngc+CNwkIJ8DR5rUnCDQOr5pit00k5Ep+nsR2M+kZpqAdtP0dHf+CHseJdotPwn8U093p/z6+8rQ+ZXIZdd+BuyEzn8hoN0cOu9F56cBn0WmsPE24ANBAoo+dP42dl48HfdB8FLgUmxAUfr36+jtDb27qjEqUxti01qfdCD3V+BEk5owbwuDoDK1NbbOYjcHcn/CFrr91IGWM1SmdsbuK3+vA7kZwOEmNU860HKGytT+wLXAJg7k7gWONqkJvX11GVSmjgKmARMcyN0AfLEIPitBrau+GnAWtrZrTEm5Jdhdbef2dHe+XXZsztDJWti6p2OBjpJq84AubK+G6kwiOtkYuBr4uAO12dhdHmGDwuXRyTbYZ+ouDtSeAY5A584yy5UNKvpQmdoNuy74r8DoFg9/Efvmfo1JTRWabK2AylQHsD/Wxz3akHgK+CZwU8g395WhMjUG+Ay2yPEf2pB4FBtJ3+lha2xbqEytha24Pwl4V4uHL8VmAy4xqbnf9dhcoTK1AXAkdlKa2OLh84DvAFea1FSpzfIy1LrqE4FTsDsLWg2g5gI3A5cWjbaqiU7eB5yGXYod2+LRr2EbsF2Gzl92PTRn6GQP7DN1P1qfN57DzhvXetg22h46GYUNnE6lvZfSJ7Hzxs1FB09nVD6o6ENlamNs1mJnYCdgG1ZcvpmD3fEwA9uv/IGQ6eNWUZnaCjgI699kGk9Or2L9mwHUTWpCN51qCZWpSdhizsnFv00b/NnzWP9+DdxTbFcdFhRB4u7A3vT7uP5yf9aLfUOYgS1qvcPHllhXqEyNwvq3J/ZanQSsvdyfLcF+FGwG8AvgtiplJoai1lVfA/vQ3g17Dt8HjFvuzxZie+zMAP4XuNv5R8Ik0cm62OfNLtjzuD2w2nJ/NQ+7NDQDu7OrXqaIzzs62ZT+eWMy8B5WnDdep/+Zej/wYKWyL0Ohk/dga4P65o1ag796hX4f/xOd/1pqOMMmqFgelak1senmcdgeF3OrljIui8rUOsCG2LeJRUAeYMeKKMUy17rA6th6ib96aEbmFZWpTbFvvathJ6JXTWpC9BAQoQiktgDWxD6wFwJ/rmrmrB2K5ZEtgDWK/zQfeLH4+unIQCfjgM2wz9Sl2JqvFwRbUfvHLgFtTP+88SY6/3PYQTnGBosb0D9vzEHnr/oyP2yDikgkEolEItWicrs/IpFIJBKJDE9iUBGJRCKRSMQJMaiIRCKRSCTihBhURCKRSCQScUIMKiKRSCQSiTghBhWRSCQSiUScEIOKSCQSiUQiTohBRSQSiUQiESfEoCISiUQikYgTYlARiUQikUjECf8Pzo2nqLTbGLsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x648 with 74 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "labels_map = som.labels_map(data, [label_names[t] for t in target])\n",
    "\n",
    "fig = plt.figure(figsize=(9, 9))\n",
    "the_grid = gridspec.GridSpec(n_neurons, m_neurons, fig)\n",
    "for position in labels_map.keys():\n",
    "    label_fracs = [labels_map[position][l] for l in label_names.values()]\n",
    "    plt.subplot(the_grid[n_neurons-1-position[1],\n",
    "                         position[0]], aspect=1)\n",
    "    patches, texts = plt.pie(label_fracs)\n",
    "\n",
    "plt.legend(patches, label_names.values(), bbox_to_anchor=(3.5, 6.5), ncol=3)\n",
    "plt.savefig('resulting_images/som_seed_pies.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To understand how the training evolves we can plot the quantization and topographic error of the SOM at each step. This is particularly important when estimating the number of iterations to run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "som = MiniSom(10, 20, data.shape[1], sigma=3., learning_rate=.7,\n",
    "              neighborhood_function='gaussian', random_seed=10)\n",
    "\n",
    "max_iter = 1000\n",
    "q_error = []\n",
    "t_error = []\n",
    "\n",
    "for i in range(max_iter):\n",
    "    rand_i = np.random.randint(len(data))\n",
    "    som.update(data[rand_i], som.winner(data[rand_i]), i, max_iter)\n",
    "    q_error.append(som.quantization_error(data))\n",
    "    t_error.append(som.topographic_error(data))\n",
    "\n",
    "plt.plot(np.arange(max_iter), q_error, label='quantization error')\n",
    "plt.plot(np.arange(max_iter), t_error, label='topographic error')\n",
    "plt.ylabel('quantization error')\n",
    "plt.xlabel('iteration index')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that in the snippet above weto run each learning iteration in a for loop and saved the errors in separated lists."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
